Quadratic Equations:

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10th Class Math MCQs Chapter-01

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Math Ch#01, 10th Class

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1 / 34

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

Pure quadratic equation

Exponential Equation

Linear equation

quadratic equation

2 / 34

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

{ - 3}

{±3}

{ 9 }

{3}

3 / 34

An Equation of the form 2^2x – 3.2^x + 5 = 0 is called a / an ________ equation.

None of these

Radical

Reciprocal

Exponential

4 / 34

if 2^X=1 , then x = _________

1/2

5 / 34

The Solution set of equation 4x²-16=0

{±2}

±2

{±4}

{4}

6 / 34

Which value satisfied the equation 5^1+x + 5^1-x = 26 .

{ 1 }

{ 2 }

{ ±1}

{ ±2 }

7 / 34

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

the loss of one root

no loss of any root

gain of one root

undefined solution

8 / 34

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

Real Numbers

Whole numbers

Rational Number

Irrational Number

9 / 34

Standard form of quadratic equation is ___________

ax² + bx + c =0 , a ≠0

ax² = bx , a ≠0

bx + c =0 , b ≠0

ax² =0 , a ≠0

10 / 34

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

11 / 34

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

( x + 7) and ( x +8 )

( x - 7) and ( x - 8 )

( x - 7) and ( x +8 )

( x + 7) and ( x - 8 )

12 / 34

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

None of these

Exponential equation

Radical Equation

Reciprocal equation

13 / 34

An Equation of the type 3^x+3^2-x+6=0 is a/ an ___________

Exponential equation

Radical equation

Reciprocal equation

None of these

14 / 34

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

Exponential Equation

Reciprocal equation

Radical Equation

None of these

15 / 34

If Y = 2^xand 8y = 1, then x= _______

1/8

-3

8 ms-1

16 / 34

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

Solution Set

Root

Exponent

Extraneous Root

17 / 34

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

{ 1/5 , -2 }

{-1/5, 2}

{-1/5 , -2 }

{ 1/5 , 2 }

18 / 34

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

{ 0, 6 }

{ 5 , 0 }

{ 5, 30 }

{ 0 , -6 }

19 / 34

the Number of Roots of a quadratic equation is _____

20 / 34

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

{-4}

None of these

{±4}

{+4}

21 / 34

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

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

Option-I

Option-III

Option-IV

Option-II

22 / 34

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

Exponential equation

linear equation

quadratic equation

Pure quadratic equation

23 / 34

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

{ 2 , 1 }

{ -2 , 1 }

{ -2 , -1 }

{ 2 , -1 }

24 / 34

What is the degree of quadratic equation ?

25 / 34

The number of methods to solve a quadratic equation is ___________

26 / 34

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

{ 1 , -6 }

{ -1 , 6 }

{ -1 , -6 }

{ 1 , 6 }

27 / 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 ________

28 / 34

The Quadratic Formula is ________ (Select Correct Option)

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

Option-III

Option-II

Option-I

Option-IV

29 / 34

How many linear factors a quadratic equation has ?

30 / 34

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

31 / 34

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

Multiply the equation by 1/3

add 1/3 in both sides

subtract 1/3 from both sides

divide the equation by 1/3

32 / 34

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

{+1/5}

None of these

{±1/5}

{-1/5}

33 / 34

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

-3/5

3/5

-5/3

5/3

34 / 34

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

multiply the equation by 7

add 7 in both sides

subtract 7 from both sides

divide the equation by 7

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Muhammad Faisal	11:52:08 Aug 01, 2021	76%

Math Solution 10th Class (Science Group)

Chapter 01 - QUADRATIC EQUATIONS

Exercise 1.1 (English) (Urdu)

Exercise 1.2 (English) (Urdu)

Exercise 1.3 (English) (Urdu)

Exercise 1.4 (English) (Urdu)

Ex 1-Misc (English) (Urdu)

Online Practice/ Test - MCQs & Short Questions

Chapter 02 - THEORY OF QUADRATIC EQUATIONS

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

Chapter 03 - VARIATIONS

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)

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Chapter 04 - PARTIAL FRACTIONS

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)

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Chapter 05 - SETS AND FUNCTIONS

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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Chapter 06 - BASIC STATISTICS

Exercise 6.1 (English) (Urdu)

Exercise 6.2 (English) (Urdu)

Exercise 6.3 (English) (Urdu)

Ex 6-Misc (English) (Urdu)

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Chapter 07 - INTRODUCTION TO TRIGONOMETRY

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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Chapter 08 - PROJECTION OF A SIDE OF A TRIANGLE

Exercise 8.1 (English) (Urdu)

Exercise 8.2 (English) (Urdu)

Ex 8-Misc (English) (Urdu)

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Chapter 09 - CHORDS OF A CIRCLE

Exercise 9.1 (English) (Urdu)

Exercise 9.2 (English) (Urdu)

Ex 9-Misc (English) (Urdu)

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Chapter 10 - TANGENT TO A CIRCLE

Exercise 10.1 (English) (Urdu)

Exercise 10.2 (English) (Urdu)

Exercise 10.3 (English) (Urdu)

Ex 10-Misc (English) (Urdu)

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Chapter 11 - CHORDS AND ARCS

Exercise 11.1 (English) (Urdu)

Ex 11-Misc (English) (Urdu)

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Chapter 12 - ANGLE IN A SEGMENT OF A CIRCLE

Exercise 12.1 (English) (Urdu)

Ex 12-Misc (English) (Urdu)

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Chapter 13 - PRACTICAL GEOMETRY - CIRCLES

Exercise 13.1 (English) (Urdu)

Exercise 13.2 (English) (Urdu)

Exercise 13.3 (English) (Urdu)

Ex 13-Misc (English) (Urdu)

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Math Past Papers

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2022

Other Math Notes

10th Class Math Science Group (English Medium)

10th Class Math Science Group (Urdu Medium)

10th Math Past Papers (Science Group)

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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:

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