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 x²-x-2=0 is __________

{ 2 , 1 }

{ -2 , 1 }

{ 2 , -1 }

{ -2 , -1 }

2 / 34

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

{ ±1}

{ ±2 }

{ 2 }

{ 1 }

3 / 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 ________

4 / 34

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

{3}

{ - 3}

{±3}

{ 9 }

5 / 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 )

6 / 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-IV

Option-II

Option-III

Option-I

7 / 34

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

Exponential

Radical

Reciprocal

None of these

8 / 34

Standard form of quadratic equation is ___________

bx + c =0 , b ≠0

ax² + bx + c =0 , a ≠0

ax² =0 , a ≠0

ax² = bx , a ≠0

9 / 34

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

{ 0 , -6 }

{ 5 , 0 }

{ 0, 6 }

{ 5, 30 }

10 / 34

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

11 / 34

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

{-1/5}

{+1/5}

{±1/5}

None of these

12 / 34

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

Exponent

Solution Set

Extraneous Root

Root

13 / 34

How many linear factors a quadratic equation has ?

14 / 34

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

15 / 34

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

the loss of one root

gain of one root

no loss of any root

undefined solution

16 / 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

17 / 34

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

Reciprocal equation

None of these

Exponential Equation

Radical Equation

18 / 34

if 2^X=1 , then x = _________

1/2

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

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

add 7 in both sides

multiply the equation by 7

divide the equation by 7

subtract 7 from both sides

22 / 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-I

Option-II

Option-III

23 / 34

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

Pure quadratic equation

Linear equation

Exponential Equation

quadratic equation

24 / 34

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

-3

1/8

8 ms-1

25 / 34

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

-5/3

5/3

-3/5

3/5

26 / 34

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

Exponential equation

None of these

Radical equation

Reciprocal equation

27 / 34

What is the degree of quadratic equation ?

28 / 34

The Solution set of equation 4x²-16=0

±2

{±2}

{±4}

{4}

29 / 34

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

Exponential equation

Radical Equation

None of these

Reciprocal equation

30 / 34

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

divide the equation by 1/3

Multiply the equation by 1/3

add 1/3 in both sides

subtract 1/3 from both sides

31 / 34

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

Pure quadratic equation

linear equation

quadratic equation

Exponential equation

32 / 34

The number of methods to solve a quadratic equation is ___________

33 / 34

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

{ -1 , -6 }

{ -1 , 6 }

{ 1 , -6 }

{ 1 , 6 }

34 / 34

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

{-1/5 , -2 }

{ 1/5 , -2 }

{-1/5, 2}

{ 1/5 , 2 }

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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 Solution:

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