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

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

2 / 34

the Number of Roots of a quadratic equation is _____

3 / 34

What is the degree of quadratic equation ?

4 / 34

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

{ 9 }

{±3}

{3}

{ - 3}

5 / 34

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

Exponential equation

Pure quadratic equation

quadratic equation

linear equation

6 / 34

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

Whole numbers

Rational Number

Irrational Number

Real Numbers

7 / 34

The Solution set of equation 4x²-16=0

{±2}

±2

{4}

{±4}

8 / 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

divide the equation by 1/3

subtract 1/3 from both sides

9 / 34

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

Solution Set

Root

Exponent

Extraneous Root

10 / 34

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

gain of one root

no loss of any root

undefined solution

the loss of one root

11 / 34

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

None of these

{+1/5}

{±1/5}

{-1/5}

12 / 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

divide the equation by 7

add 7 in both sides

subtract 7 from both sides

13 / 34

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

1/8

8 ms-1

-3

14 / 34

Standard form of quadratic equation is ___________

ax² =0 , a ≠0

bx + c =0 , b ≠0

ax² + bx + c =0 , a ≠0

ax² = bx , a ≠0

15 / 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 ________

16 / 34

How many linear factors a quadratic equation has ?

17 / 34

if 2^X=1 , then x = _________

1/2

18 / 34

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

Reciprocal

Radical

None of these

Exponential

19 / 34

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

{ -1 , -6 }

{ -1 , 6 }

{ 1 , 6 }

{ 1 , -6 }

20 / 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-II

Option-III

Option-IV

21 / 34

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

quadratic equation

Linear equation

Pure quadratic equation

Exponential Equation

22 / 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 )

23 / 34

The number of methods to solve a quadratic equation is ___________

24 / 34

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

{-4}

{±4}

{+4}

None of these

25 / 34

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

-3/5

5/3

3/5

-5/3

26 / 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-II

Option-I

Option-III

Option-IV

27 / 34

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

Radical equation

Exponential equation

None of these

Reciprocal equation

28 / 34

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

29 / 34

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

None of these

Exponential Equation

Radical Equation

Reciprocal equation

30 / 34

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

{ 2 }

{ ±2 }

{ ±1}

{ 1 }

31 / 34

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

{ 0, 6 }

{ 5 , 0 }

{ 0 , -6 }

{ 5, 30 }

32 / 34

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

{ 2 , 1 }

{ -2 , -1 }

{ -2 , 1 }

{ 2 , -1 }

33 / 34

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

{-1/5, 2}

{ 1/5 , 2 }

{ 1/5 , -2 }

{-1/5 , -2 }

34 / 34

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

Radical Equation

None of these

Exponential equation

Reciprocal 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)

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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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9th Class Math Past Papers (Science Group)

9th Class Math Past Papers (Arts Group)

10th Class Math Solution:

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