10th Class Math Notes

Complete Solution for 10th Class Math Notes is available here and There are Thirteen chapters in Mathematics 10th Class for Punjab Textbook Board, Lahore. Solutions of all the chapters are given below. Anyone can download the PDF file of the notes. Note that, you can view these notes only if you have PDF reader software/ App on your device. However online view of the notes is also available on eStudent.pk .

10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

10th Math Past Papers (Arts Group)

09th Class Math Science Group (English Medium)

09th Class Math Science Group   (Urdu Medium)

09th Class Math Arts Group      (Urdu Medium)

09th Class Math Past Papers      (Science Group)

09th Class Math Past Papers         (Arts Group)

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10th Class Math MCQs Chapter-03

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Variations :

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10th Class Math MCQs Chapter-03

MCQs from Text Book Exercise and others included in this Practice panel . By practicing again and again, Student can get good practice on this topic “Variations”, 10th Class Math MCQs Chapter-03.

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Math Ch#03, 10th Class

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1 / 40

If 6 : m : : 9 : 12 , then m = ________

2 / 40

If \frac{u}{v} = \frac{v}{w} = k then _______ (Which Option is Correct)

  1. u = wk^2
  2. u = vk^2
  3. u = w^2k
  4. u = v^2k

3 / 40

The continued proportion of 4, m, 9 is written as ________

4 / 40

If a : b = x : y, then alternando property is _______

  1. \frac{a}{x} = \frac{b}{x}
  2. \frac{a}{b} = \frac{x}{y}
  3. \frac{a+b}{b}=\frac{x+y}{y}
  4. \frac{a-b}{x}=\frac{x-y}{y}

(Select Correct Option)

5 / 40

Which one is the Fourth proportional of 4x^4 , 2x^3 , 18x^5 ?

  1. 36x^8
  2. 9x^2
  3. 9x^{12}
  4. 9x^4

(Which Option is Correct)

6 / 40

If x and y varies directrly, then x = _________

7 / 40

What is the Value of x in the continued proportion of 8, x,  18 ?

8 / 40

In a proportion " a : b :: c : d " , "b" & "c" are called _________

9 / 40

Third proportional of a^3 , 3a^2 is _________

  1. 3a^5
  2. 9a
  3. 9a^4
  4. 9a^7

(Which Option is Correct)

10 / 40

The Mean Proportional of 20 & 45 is _______

11 / 40

The Third proportional of x^2 and y^2 is ___________

  1. \frac{y^2}{x^2}
  2. x^2y^2
  3. \frac{y^4}{x^2}
  4. \frac{y^2}{x^4}

(Whcih Option is Correct)

12 / 40

In Continued proportion of 12 , p , 3 the value of p is _____

13 / 40

If \frac{9pq}{2lm} = \frac{18p}{5m}, then value of "5q" is __________

14 / 40

In a ratio " a : b " , a is called ________

 

15 / 40

If a : b = x : y , then invertendo property is ___________

  1. \frac{a}{x} = \frac{b}{y}
  2. \frac{a}{a-b}=\frac{x}{x-y}
  3. \frac{a+b}{b} = \frac{x+y}{y}
  4. \frac{b}{a}=\frac{y}{x}

(Select Correct Option)

16 / 40

A third proportional of 12 and 4, is ______

17 / 40

Find " x " in proportion

4 : x :: 5 : 15

18 / 40

if y^2 ∝ \frac{1}{x^3} , then _______________

  • y^2 = \frac{k}{x^3}
  • y^{2} = \frac{1}{x^3}
  • y^2 = x^2
  • y^2 = kx^3

(Which Option is Correct)

19 / 40

There are _________  types of variation

20 / 40

Fourth proportional of 5, 8, 15 is ________

21 / 40

The fourth proportional w of " x : y : : v : w is _________

22 / 40

Newton's law of Gravitation is an example of ________

23 / 40

The fourth proportional of 15, 6 , 5 is _________

24 / 40

If \frac{5a}{3x} = \frac{15b}{y} , then ay = ____________________

25 / 40

Mean proportional of 20x^3y^5 , 5x^7y is _________

  1. \pm 10x^5y^6
  2. \pm 10x^5y^3
  3. \pm 10x^{10}y^6
  4. 100x^{10}y^6

(Which Option is Correct)

26 / 40

If \frac{u}{v} = \frac{v}{w} = k , then

  1. u = wk^2
  2. u = v k^2
  3. u = w^2k
  4. u=v^2k

(Which Option is Correct)

27 / 40

in continues proportional " a : b = b : c " , c is said to be  __________ proportional to "a & b".

28 / 40

Third proportional of 6, 12 is _______

29 / 40

in a Ratio " x : y ", y is called __________

30 / 40

The mean proportional of 4m^2n^4 and p^6 is ______________

  1. \pm 2mnp
  2. \pm mnp
  3. \pm \frac{2m^2n}{p}
  4. \pm 2mn^2p^3

(Which Option is Correct)

31 / 40

If \frac{a}{b} = \frac{c}{d}, then componendo property is _________

  1. \frac{a}{a+b}=\frac{c}{c+d}
  2. \frac{a}{a-b}=\frac{c}{c-d}
  3. \frac{ad}{bc}
  4. \frac{a-b}{b}=\frac{c-d}{d}

(Select Correct Option)

32 / 40

In continued proportion " a : b = b : c ", ac = b2  , b is said to be ________ proportional between "a & c".

 

33 / 40

In a proportion " a : b :: c : d " , "a" and "d" are called  ___________

 

34 / 40

What is the value of p in the continued proportion of 5, p, 45?

35 / 40

Mean Proportional of 9p^6q^4 and r^8 is __________

  1. \pm 3p^3q^2r^4
  2. \pm 9p^6q^2r^8
  3. \pm 9p^3q^2r^4
  4. \pm 3p^6q^4r^8

(Which Option is Correct)

36 / 40

the Simplest form of the ratio \frac{(x+y)(x^2+xy+y^2))}{x^3-y^3} is ________

  1. \frac{x-y}{x+y}
  2. 1
  3. \frac{x^3+y^3}{x^3-y^3}
  4. \frac{x+y}{x-y}

(Which Option is Correct)

37 / 40

In proportion 7 : 4 : : p : 8,   the value of  p = _______

38 / 40

if  u α v^2, then_________

  • u = v^2
  • u=kv^2
  • uv^2=k
  • uv^2 = 1

(Which Option is Correct)

39 / 40

If v varies direct as u^3  , then u^3 = ________

  1. vk
  2. \frac{k}{v}
  3. \frac{v}{k}
  4. vk^3

(Which Option is Correct)

40 / 40

If w varies inversely as p^2 , then k = _________

  1. \frac{w}{p^2}
  2. wp^2
  3. \frac{p^2}{w}
  4. wp

(Which Option is Correct)

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Math Solution 10th Class (Science Group)

Exercise 2.1          (English)          (Urdu)

Exercise 2.2          (English)          (Urdu)

Exercise 2.3          (English)          (Urdu)

Exercise 2.4          (English)          (Urdu)

Exercise 2.5          (English)          (Urdu)

Exercise 2.6          (English)          (Urdu)

Exercise 2.7          (English)          (Urdu)

Exercise 2.8          (English)          (Urdu)

Ex 2-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 3.1          (English)          (Urdu)

Exercise 3.2          (English)          (Urdu)

Exercise 3.3          (English)          (Urdu)

Exercise 3.4          (English)          (Urdu)

Exercise 3.5          (English)          (Urdu)

Exercise 3.6          (English)          (Urdu)

Exercise 3.7          (English)          (Urdu)

Ex 3-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 4.1          (English)          (Urdu)

Exercise 4.2          (English)          (Urdu)

Exercise 4.3          (English)          (Urdu)

Exercise 4.4          (English)          (Urdu)

Ex 4-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 5.1          (English)          (Urdu)

Exercise 5.2          (English)          (Urdu)

Exercise 5.3          (English)          (Urdu)

Exercise 5.4          (English)          (Urdu)

Exercise 5.5          (English)          (Urdu)

Ex 5-Misc              (English)          (Urdu)

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Exercise 6.1          (English)          (Urdu)

Exercise 6.2          (English)          (Urdu)

Exercise 6.3          (English)          (Urdu)

Ex 6-Misc              (English)          (Urdu)

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Exercise 7.1          (English)          (Urdu)

Exercise 7.2          (English)          (Urdu)

Exercise 7.3          (English)          (Urdu)

Exercise 7.4          (English)          (Urdu)

Exercise 7.5          (English)          (Urdu)

Ex 7-Misc               (English)          (Urdu)

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Exercise 8.1          (English)          (Urdu)

Exercise 8.2         (English)          (Urdu)

Ex 8-Misc             (English)          (Urdu)

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Exercise 9.1          (English)          (Urdu)

Exercise 9.2         (English)          (Urdu)

Ex 9-Misc              (English)          (Urdu)

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Exercise 10.1          (English)          (Urdu)

Exercise 10.2          (English)          (Urdu)

Exercise 10.3          (English)          (Urdu)

Ex 10-Misc               (English)          (Urdu)

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Exercise 11.1          (English)          (Urdu)

Ex 11-Misc              (English)          (Urdu)

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Exercise 12.1          (English)          (Urdu)

Ex 12-Misc              (English)          (Urdu)

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Exercise 13.1          (English)          (Urdu)

Exercise 13.2          (English)          (Urdu)

Exercise 13.3          (English)          (Urdu)

Ex 13-Misc               (English)          (Urdu)

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2019

2020

2021

2022

10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

10th Math Past Papers (Arts Group)

9th Class Math Science Group (English Medium)

9th Class Math Science Group   (Urdu Medium)

9th Class Math Arts Group      (Urdu Medium)

9th Class Math Past Papers      (Science Group)

9th Class Math Past Papers         (Arts Group)

10th Class Math Solution:

The importance of mathematics study in every class is important for students, such like students of 9th Class & 10th Class or other classes. If we talk Matric Classes Student of Science Classes or Arts classes, Math is equally important for both Classes.

Every Student of 9th & 10th Class is trying to search the topic like “9th Class math solution pdf”, 10th Class Math Solution PDF”, 10th Class Math MCQs Chapter-03, 10th Class Math Notes Chapter-03.

Class 10 Mathematics  Chapter-Wise MCQs

Chapter-01: Quadratic Equations

Chapter-02: Theory of Quadratic Equations

Chapter-03: Variations

Chapter-04: Partial Fraction

Chapter-05: Sets and Functions

Chapter-06: Basic Statistics

Chapter-07: Introduction to Trigonometry

Chapter-08: Projection of a site of a triangle

Chapter-09: Chord of a Circle

Chapter-10: Tangent to a Circle

Chapter-11: Chords and Arcs

Chapter-12: Angle in a Segment of a circle

Chapter-13: Practical Geometry – Circles

10th Math 2021 Pairing Scheme – Assessment 

 

 

 

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10th Class Math MCQs Chapter-01

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10th Class Math MCQs Chapter-01

Quadratic Equations:

If you are searching the topic 10th Class Math Solution and 10th Class Math MCQs Chapter-01 for matric classes then you are on the right place, because we are providing the Quality material for education of Students and their problems.

10th Class Math MCQs Chapter-01

MCQs from Text Book Exercise and others included in this Practice panel . By practicing again and again, Student can get good practice on this topic “Quadratic Equations”, 10th Class Math MCQs Chapter-01.

Best of Luck

 

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Math Ch#01, 10th Class

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Welcome

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1 / 34

The number of methods to solve a quadratic equation is ___________

2 / 34

if 2X=1 , then x = _________

3 / 34

If y =x-1 and 3y=5, the value of x is _________

4 / 34

The Solution set of equation x²-x-2=0 is __________

5 / 34

The Solution set of equation x²-7x+6=0 is _______

6 / 34

If Y = 2x   and 8y = 1, then x= _______

7 / 34

The Quadratic Formula is ________ (Select Correct Option)

  1. x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}
  2. x = \frac{b\pm \sqrt{b^2-4ac}}{2a}
  3. x = \frac{-b\pm \sqrt{b^2+4ac}}{2a}
  4. x = \frac{b\pm \sqrt{b^2+4ac}}{2a}

8 / 34

The Solution set of the equation     x² - 9 =0  is _____

9 / 34

the Number of Roots of a quadratic equation is _____

10 / 34

Cancellation of x on both sides of 5x² = 30x means ________

11 / 34

If a=0, in ax²+bx+c=0, then it reduces to __________

12 / 34

An equation, which remains unchanged when x is replaced by (1/x) is called a/an __________

13 / 34

How many linear factors a quadratic equation has ?

14 / 34

The Solution set of equation 4x²-16=0

15 / 34

Two linear factors of x²-15x+56 are __________

16 / 34

The solution set of equation 5x²=30x   is _________

17 / 34

The Value of variable of an equation not satisfying the equation is called _____

18 / 34

Which value satisfied the equation 51+x + 51-x = 26 .

 

19 / 34

An equation of the form 2x4-3x3+7x2-3x+2=0   is called a/ an _________

20 / 34

Sentences involving the sign ______between two algebraic expressions are called equations.

21 / 34

The solution set of   25x² - 1 = 0     is _______

22 / 34

The solution set of equation 3x²+4x=5 is ________ (Select Correct Option)

  1. \left \{ \frac{-2\pm {\sqrt{19}}}{3} \right \}
  2. \left \{ \frac{2\pm {\sqrt{19}}}{3} \right \}
  3. \left \{ \frac{4\pm {\sqrt{19}}}{3} \right \}
  4. \left \{ \frac{-4\pm {\sqrt{19}}}{3} \right \}

23 / 34

What should be done to make the co-efficient of x² equal to 1, in 7x² + 2x - 1 = 0 ?

24 / 34

The standard form of the quadratic equation is     ax² + bx + c = 0 , where a, b, c are _________

25 / 34

An Equation of the type 3x+32-x+6=0 is a/ an ___________

26 / 34

The Cancellation of x on both sides the equation of type ax²=bx means the loss of one root.
The Value that root is always equal to ________

27 / 34

if   b = 0 in a quadratic equation ax²+bx+c=0 then it is called ___________

28 / 34

What should be done to make the co-effecient  of x² equal to 1 in 3x²+72=0 ?

29 / 34

The number of terms in a standard quadratic equation   ax²+bx+c=0   is _________

30 / 34

An Equation of the form 22x – 3.2x + 5  = 0   is called a / an ________ equation.

31 / 34

What is the degree of quadratic equation ?

32 / 34

The Solution Set of equation  x² - 16 = 0 is __________

33 / 34

The Solution Set of equation  2 + 9x = 5x2   is __________

34 / 34

Standard form of quadratic equation is ___________

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Math Solution 10th Class (Science Group)

Exercise 2.1          (English)          (Urdu)

Exercise 2.2          (English)          (Urdu)

Exercise 2.3          (English)          (Urdu)

Exercise 2.4          (English)          (Urdu)

Exercise 2.5          (English)          (Urdu)

Exercise 2.6          (English)          (Urdu)

Exercise 2.7          (English)          (Urdu)

Exercise 2.8          (English)          (Urdu)

Ex 2-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 3.1          (English)          (Urdu)

Exercise 3.2          (English)          (Urdu)

Exercise 3.3          (English)          (Urdu)

Exercise 3.4          (English)          (Urdu)

Exercise 3.5          (English)          (Urdu)

Exercise 3.6          (English)          (Urdu)

Exercise 3.7          (English)          (Urdu)

Ex 3-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 4.1          (English)          (Urdu)

Exercise 4.2          (English)          (Urdu)

Exercise 4.3          (English)          (Urdu)

Exercise 4.4          (English)          (Urdu)

Ex 4-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 5.1          (English)          (Urdu)

Exercise 5.2          (English)          (Urdu)

Exercise 5.3          (English)          (Urdu)

Exercise 5.4          (English)          (Urdu)

Exercise 5.5          (English)          (Urdu)

Ex 5-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 6.1          (English)          (Urdu)

Exercise 6.2          (English)          (Urdu)

Exercise 6.3          (English)          (Urdu)

Ex 6-Misc              (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 7.1          (English)          (Urdu)

Exercise 7.2          (English)          (Urdu)

Exercise 7.3          (English)          (Urdu)

Exercise 7.4          (English)          (Urdu)

Exercise 7.5          (English)          (Urdu)

Ex 7-Misc               (English)          (Urdu)

Online Practice/ Test - MCQs & Short Questions

Exercise 8.1          (English)          (Urdu)

Exercise 8.2         (English)          (Urdu)

Ex 8-Misc             (English)          (Urdu)

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Exercise 9.1          (English)          (Urdu)

Exercise 9.2         (English)          (Urdu)

Ex 9-Misc              (English)          (Urdu)

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Exercise 10.1          (English)          (Urdu)

Exercise 10.2          (English)          (Urdu)

Exercise 10.3          (English)          (Urdu)

Ex 10-Misc               (English)          (Urdu)

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Exercise 11.1          (English)          (Urdu)

Ex 11-Misc              (English)          (Urdu)

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Exercise 12.1          (English)          (Urdu)

Ex 12-Misc              (English)          (Urdu)

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Exercise 13.1          (English)          (Urdu)

Exercise 13.2          (English)          (Urdu)

Exercise 13.3          (English)          (Urdu)

Ex 13-Misc               (English)          (Urdu)

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2018

2019

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10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

10th Math Past Papers (Arts Group)

9th Class Math Science Group (English Medium)

9th Class Math Science Group   (Urdu Medium)

9th Class Math Arts Group      (Urdu Medium)

9th Class Math Past Papers      (Science Group)

9th Class Math Past Papers         (Arts Group)

10th Class Math Solution:

The importance of mathematics study in every class is important for students, such like students of 9th Class & 10th Class or other classes. If we talk Matric Classes Student of Science Classes or Arts classes, Math is equally important for both Classes.

Every Student of 9th & 10th Class is trying to search the topic like “9th Class math solution pdf”, 10th Class Math Solution PDF”, 10th Class Math MCQs Chapter-01, 10th Class Math Notes Chapter-01.

 

Class 10 Mathematics  Chapter-Wise MCQs

Chapter-01: Quadratic Equations

Chapter-02: Theory of Quadratic Equations

Chapter-03: Variations

Chapter-04: Partial Fraction

Chapter-05: Sets and Functions

Chapter-06: Basic Statistics

Chapter-07: Introduction to Trigonometry

Chapter-08: Projection of a site of a triangle

Chapter-09: Chord of a Circle

Chapter-10: Tangent to a Circle

Chapter-11: Chords and Arcs

Chapter-12: Angle in a Segment of a circle

Chapter-13: Practical Geometry – Circles

10th Math 2021 Pairing Scheme – Assessment 

 

 

 

 

10th Class Math MCQs Chapter-04

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10th Class Math MCQs Chapter-04

Partial Fraction:

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10th Class Math MCQs Chapter-04

MCQs from Text Book Exercise and others included in this Practice panel . By practicing again and again, Student can get good practice on this topic “Partial Fraction”, 10th Class Math MCQs Chapter-04.

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Math Ch#04, 10th Class

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1 / 19

The Quotient of two numbers or algebraic expression is called a _____

2 / 19

An _______ equation is a type of equation, which is satisfied by all the values of variable involved in given equation.

3 / 19

\frac{2x+1}{(x+1)(x-1)} is ___________

4 / 19

A fraction with degree of numerator less then degree of denominator is called _____ fraction

5 / 19

\frac{x^3+1}{(x-1)(x+2)} is _________________

6 / 19

Partial fractions of \frac{(x-2)}{(x-1)(x+2)}  are the form of  __________ (Select Correct Option)

  1. \frac{A}{(x-1)}+\frac{B}{(x+2)}
  2. \frac{Ax}{(x-1)}+\frac{B}{(x+2)}
  3. \frac{A}{(x-1)}+\frac{Bx+C}{(x+2)}
  4. \frac{Ax+B}{(x-1)}+\frac{C}{(x+2)}

7 / 19

A function of the form f(x) = \frac{N(x)}{D(x)'} with D (x) = 0, where N (x) and D(x) are polynomials in x is called ______

8 / 19

Partial Fractions of     \frac{2x+5}{(x+1)(x^2+2)^2}    are of the form _________ (Select Correct Option)

  1. \frac{A}{x+1}+\frac{Bx+C}{x^2+2}+\frac{Dx+E}{(x^2+2)^{2}}
  2. \frac{A}{x+1}+\frac{Bx+C}{x^2+2}
  3. \frac{Bx+C}{x^2+2}+\frac{Dx+E}{(x^2+2)^{2}}
  4. \frac{A}{x+1}+\frac{B}{x^2+2}+\frac{Cx+D}{(x^2+2)^{2}}

9 / 19

Partial Fractions of \frac{x^2+1}{(x+1)(x-1)} are of the from of ________ (Select Correct Option)

  1. \frac{A}{(x+1)}+\frac{B}{(x-1)}
  2. 1+\frac{A}{(x+1)}+\frac{Bx+C}{(x-1)}
  3. 1+\frac{A}{(x+1)}+\frac{B}{(x-1)}
  4. \frac{Ax+B}{(x+1)}+\frac{C}{(x-1)}

10 / 19

Partial Fractions of  \frac{1}{(x-1)^{2}(x-2)}   are in the form of __________ (Select Correct Option)

  1. \frac{Ax+C}{(x-1)^2}+\frac{C}{(x-2)}
  2. \frac{A}{x-1}+\frac{B}{(x-1)^{2}}+\frac{C}{x-2}
  3. \frac{Ax+B}{x^2+2x+4}
  4. \frac{A}{(x-1)^2}+\frac{B}{(x-2)}

11 / 19

(x+3)^{2} = x^2+6x+9  is ____________

12 / 19

The identity (5x+4)^{^{2}} = 25x^2 +40x+16 is ture for _________

13 / 19

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called ______

14 / 19

Partial Fractions of \frac{x+2}{(x+1)(x^2+2)} are of the form of _____________ (Select Correct Option)

  1. \frac{A}{(x+1)}+\frac{B}{(x^2+2)}
  2. \frac{A}{(x+1)}+\frac{Bx+C}{(x^2+2)}
  3. \frac{Ax+B}{(x+1)}+\frac{C}{(x^2+2)}
  4. \frac{A}{(x+1)}+\frac{Bx}{(x^2+2)}

15 / 19

a fraction in which the degree of numerator is less then the degree of the denominator is called __________

16 / 19

Partial Fractions of  \frac{1}{(x-1)^{2}(x-2)} are of the form ___________ (Select Correct Option)

  1. \frac{A}{x-1}+\frac{Bx+C}{(x-1)^{2}}+\frac{D}{x-2}
  2. \frac{A}{x-1}+\frac{B}{x-1^{}}+\frac{C}{x-2}
  3. \frac{A}{x-1}+\frac{B}{(x-1)^{2}}+\frac{C}{x-2}
  4. \frac{Ax+B}{(x-1)^{2}}+\frac{C}{x-2}

17 / 19

Partial Fractions of    \frac{x^3-2x^2-2}{(x^2+1)^{2}}   are of the form ___________ (Select One Option)

  1. \frac{Ax+B}{x^2+1}+ \frac{Cx^2+D}{(x^2+1)^{2}}
  2. \frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^{2}}
  3. \frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^{}}
  4. \frac{Ax+B}{x^2+1}+ \frac{Cx}{(x^2+1)^{2}}

18 / 19

Resolution of fraction into fractions depends upon the factors of _____

19 / 19

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called ______

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Math Solution 10th Class (Science Group)

Exercise 2.1          (English)          (Urdu)

Exercise 2.2          (English)          (Urdu)

Exercise 2.3          (English)          (Urdu)

Exercise 2.4          (English)          (Urdu)

Exercise 2.5          (English)          (Urdu)

Exercise 2.6          (English)          (Urdu)

Exercise 2.7          (English)          (Urdu)

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Exercise 3.4          (English)          (Urdu)

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9th Class Math Science Group (English Medium)

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9th Class Math Arts Group      (Urdu Medium)

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10th Class Math Solution:

The importance of mathematics study in every class is important for students, such like students of 9th Class & 10th Class or other classes. If we talk Matric Classes Student of Science Classes or Arts classes, Math is equally important for both Classes.

Every Student of 9th & 10th Class is trying to search the topic like “9th Class math solution pdf”, 10th Class Math Solution PDF”, 10th Class Math MCQs Chapter-04, 10th Class Math Notes Chapter-04.

 

Class 10 Mathematics  Chapter-Wise MCQs

Chapter-01: Quadratic Equations

Chapter-02: Theory of Quadratic Equations

Chapter-03: Variations

Chapter-04: Partial Fraction

Chapter-05: Sets and Functions

Chapter-06: Basic Statistics

Chapter-07: Introduction to Trigonometry

Chapter-08: Projection of a site of a triangle

Chapter-09: Chord of a Circle

Chapter-10: Tangent to a Circle

Chapter-11: Chords and Arcs

Chapter-12: Angle in a Segment of a circle

Chapter-13: Practical Geometry – Circles

10th Math 2021 Pairing Scheme – Assessment 

 

 

 

 

10th Class Math MCQs Chapter-02

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Theory of Quadratic Equation

Theory of Quadratic Equations

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10th Class Math MCQs Chapter-02

MCQs from Text Book Exercise and others included in this Practice panel . By practicing again and again, Student can get good practice on this topic “Theory of Quadratic Equation”, 10th Class Math MCQs Chapter-02.

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Math Ch#02, 10th Class

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You Should Enter your Name

1 / 58

Discriminant of x² - 3x + 3 = 0    is _________

2 / 58

If α, β are roots of 3x^2+5x-2 =0 , then α  + β is _________

3 / 58

If Roots of a quadratic equation are rational and distinct, then its Discriminant must be ______

4 / 58

Which of the following are symmetric function of the roots of a quadratic equation?

5 / 58

Product of cube roots of unity is ___________

6 / 58

If any quadratic equation have b²-4ac=205,

then Roots are _______

7 / 58

Roots of the equation   4x²-4x+1=0 are _______

8 / 58

The Sum of five times a number and the square of the number is ________

9 / 58

"Five less than three times a certain number" is written in equation form as _______

10 / 58

The Nature of the Roots of equation ax²+bx+c=0 can be determined by _______

11 / 58

If ω is complex cube root of unity, then \omega ^{-16} = _________

12 / 58

The Equation x^4 - 49x^2+36x+252 = 0 is called ________

13 / 58

If Roots of any quadratic equation are real, rational and unequal then possible value of Discriminant will be _________

14 / 58

Sum of the cube roots of unity is ________

15 / 58

\frac{1}{\alpha } + \frac{1}{\beta } is equal to __________

  1. \frac{1}{\alpha }
  2. \frac{1}{\alpha }-\frac{1}{\beta }
  3. \frac{\alpha -\beta }{\alpha \beta }
  4. \frac{\alpha +\beta }{\alpha \beta }

(Which Option is Correct)

16 / 58

(9 + 4ω + 4ω² )³  =   _________

17 / 58

If 1 + ω  + ω²  are cube roots of unity, then ω + ω²  = _______

18 / 58

For a quadratic Equation b²-4ac=49  , then Roots are Real and ________

19 / 58

If Roots of any Quadratic Equation are Real but distinct , then its Discriminant must be ___________

20 / 58

The Determinant of a Quadratic Equation is -47 , then the Roots are______

21 / 58

Discriminant of 2x² - 7x + 1 = 0 is __________

22 / 58

If b²-4ac <0, then the roots of  ax²+bx+c=0 are __________

23 / 58

\omega ^{4} = _______

24 / 58

If Roots of a Quadratic Equation are real, irrational and unequal then possible value of Discriminant will be _________

25 / 58

If ω is complex cube root of unity, then \omega ^{23} = _____

26 / 58

Cube Roots of "-1" are ______

27 / 58

If ω us complex cube root of unity, then \omega ^{63} = _______

28 / 58

If roots of a quadratic equation are irrational and distinct, then Discriminant is ________

29 / 58

If b²-4ac > 0, but not a perfect square then roots of ax²  + bx + c =0 are _________

30 / 58

Roots of any quadratic equation determined as Imaginary, as its Discriminant is ____

31 / 58

If ω is complex cube root of unity, then \omega ^{-5} = _______

32 / 58

If α, β are the roots of px²+qx+r=0 , then the sum of the roots 2α and 2β is ________

33 / 58

If 1, ω, ω² are cube root of unity, then 1 + ω + ω² = _______ ω³

34 / 58

If α, β are the roots of x²-x-1=0 , then sum of the roots 2α and 2β is ________

35 / 58

Two Square Roots of unity are _________

36 / 58

If the Roots of any Quadratic Equation are equal, then its Discriminant will be ________

37 / 58

The Roots of   x² + 8x + 16 = 0  , are _______

38 / 58

\omega ^{4} = _______

39 / 58

If length and width of any rectangle are x & y respectively then Parameter of said rectangle can be shown as ________

40 / 58

If α , β are the roots of   7x^2-x+4=0   , then αβ is ______

41 / 58

(-1+\sqrt{-3})^{3} =  _____________

42 / 58

If ω is complex cube root of unity, then \omega ^{-27}  = __________

43 / 58

If 1, ω, ω² are cube roots of unity, then 1 + ω = _______

44 / 58

Cube Roots of 64 are _______

45 / 58

(1-\omega -\omega ^2)^{5}  =   ____________

46 / 58

Roots of the equation  4x^2-5x+2=0  are ________

47 / 58

If b²-4ac > 0, but not a perfect square then roots of    ax²+bx+c=0  are _______

48 / 58

(1 - 3ω -  3ω² )³ = _________

49 / 58

The discriminant of    ax² + bx + c = 0   is ________

50 / 58

Cube Roots of 8 are _________

51 / 58

If ω and ω² are complex cube root of unity, then ω.ω² = ________

52 / 58

If Roots of a Quadratic Equation are imaginary, and unequal, the possible value of Discriminant is _________

53 / 58

If  \omega = \frac{-1-\sqrt{-3}}{2}    then    ω² = ___________

  1. \frac{-1\pm \sqrt{3}}{2}
  2. \frac{-1+ \sqrt{3}}{2}
  3. \frac{-1+ \sqrt{-3}}{2}
  4. \frac{-1\pm \sqrt{-3}}{2}

(Which Option is Correct)

54 / 58

If Roots of a quadratic equation are real, rational and equal, then the possible value of Discriminant will be __________

55 / 58

If b²-4ac = 0 , then roots of quadratic equation ax²+bx+c=0 are ___________

56 / 58

Cube Roots of -27 are _________

57 / 58

α² + β² is equal to ________

58 / 58

Which of the following shows "the product of two consecutive positive number"

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Math Solution 10th Class (Science Group)

Exercise 2.1          (English)          (Urdu)

Exercise 2.2          (English)          (Urdu)

Exercise 2.3          (English)          (Urdu)

Exercise 2.4          (English)          (Urdu)

Exercise 2.5          (English)          (Urdu)

Exercise 2.6          (English)          (Urdu)

Exercise 2.7          (English)          (Urdu)

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Ex 2-Misc               (English)          (Urdu)

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Exercise 3.1          (English)          (Urdu)

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Exercise 3.3          (English)          (Urdu)

Exercise 3.4          (English)          (Urdu)

Exercise 3.5          (English)          (Urdu)

Exercise 3.6          (English)          (Urdu)

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Exercise 4.1          (English)          (Urdu)

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Exercise 5.1          (English)          (Urdu)

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Exercise 5.3          (English)          (Urdu)

Exercise 5.4          (English)          (Urdu)

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Exercise 6.1          (English)          (Urdu)

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9th Class Math Science Group (English Medium)

9th Class Math Science Group   (Urdu Medium)

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9th Class Math Past Papers      (Science Group)

9th Class Math Past Papers         (Arts Group)

10th Class Math Solution:

The importance of mathematics study in every class is important for students, such like students of 9th Class & 10th Class or other classes. If we talk Matric Classes Student of Science Classes or Arts classes, Math is equally important for both Classes.

Every Student of 9th & 10th Class is trying to search the topic like “9th Class math solution pdf”, 10th Class Math Solution PDF”, 10th Class Math MCQs Chapter-02, 10th Class Math Notes Chapter-02.

 

Class 10 Mathematics  Chapter-Wise MCQs

Chapter-01: Quadratic Equations

Chapter-02: Theory of Quadratic Equations

Chapter-03: Variations

Chapter-04: Partial Fractions

Chapter-05: Sets & Functions

Chapter-06: Basic Statistics

Chapter-07: Introduction to Trigonometry

Chapter-08: Projection of a side of a Triangle

Chapter-09: Chords of a Circle

Chapter-10: Tangent to a Circle

Chapter-11: Chords and Arcs

Chapter-12: Angle in a Segment of a Circle

Chapter-13: Practical Geometry-Circles

10th Math 2021 Pairing Scheme – Assessment