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

The Solution set of equation 4x²-16=0

{±2}

±2

{4}

{±4}

2 / 34

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

{ 1/5 , -2 }

{-1/5 , -2 }

{ 1/5 , 2 }

{-1/5, 2}

3 / 34

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

divide the equation by 7

multiply the equation by 7

add 7 in both sides

subtract 7 from both sides

4 / 34

How many linear factors a quadratic equation has ?

5 / 34

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

6 / 34

Standard form of quadratic equation is ___________

ax² = bx , a ≠0

ax² + bx + c =0 , a ≠0

ax² =0 , a ≠0

bx + c =0 , b ≠0

7 / 34

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

Solution Set

Extraneous Root

Root

Exponent

8 / 34

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

{ 2 }

{ ±2 }

{ 1 }

{ ±1}

9 / 34

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

{3}

{ 9 }

{±3}

{ - 3}

10 / 34

The number of methods to solve a quadratic equation is ___________

11 / 34

What is the degree of quadratic equation ?

12 / 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-III

Option-I

Option-II

Option-IV

13 / 34

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

{±4}

{-4}

{+4}

None of these

14 / 34

the Number of Roots of a quadratic equation is _____

15 / 34

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

8 ms-1

-3

1/8

16 / 34

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

{ 5 , 0 }

{ 0 , -6 }

{ 5, 30 }

{ 0, 6 }

17 / 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-IV

Option-III

Option-II

Option-I

18 / 34

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

None of these

Reciprocal equation

Radical Equation

Exponential Equation

19 / 34

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

Exponential equation

Radical Equation

Reciprocal equation

None of these

20 / 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

21 / 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 )

22 / 34

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

{+1/5}

{±1/5}

None of these

{-1/5}

23 / 34

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

24 / 34

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

Reciprocal equation

Radical equation

None of these

Exponential equation

25 / 34

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

undefined solution

gain of one root

no loss of any root

the loss of one root

26 / 34

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

Radical

Reciprocal

Exponential

None of these

27 / 34

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

{ 1 , -6 }

{ 1 , 6 }

{ -1 , -6 }

{ -1 , 6 }

28 / 34

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

quadratic equation

Exponential Equation

Linear equation

Pure quadratic equation

29 / 34

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

-3/5

-5/3

3/5

5/3

30 / 34

if 2^X=1 , then x = _________

1/2

31 / 34

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

{ -2 , 1 }

{ 2 , 1 }

{ -2 , -1 }

{ 2 , -1 }

32 / 34

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

add 1/3 in both sides

subtract 1/3 from both sides

Multiply the equation by 1/3

divide the equation by 1/3

33 / 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 ________

34 / 34

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

Pure quadratic equation

linear equation

quadratic equation

Exponential equation

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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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10th Class Math Science Group (English Medium)

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9th Class Math Past Papers (Science Group)

9th Class Math Past Papers (Arts Group)

10th Class Math Solution:

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