MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 13

MEDIUM

10th CBSE

IMPORTANT

Earn 100

If $p$ and $q$ are the roots of the equation $x^{2} - p x + q = 0,$ then

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Important Questions on Quadratic Equations

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14

If

a

and

b

can take values

1, 2, 3, 4

, then the number of the equations of the form

a x^{2} + b x + 1 = 0

having real roots is

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

The number of quadratic equations having real roots and which do not change by squaring their roots is

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16

If

(a^{2} + b^{2}) x^{2} + 2 (a c + b d) x + c^{2} + d^{2} = 0

has no real roots, then

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17

If the sum of the roots of the equation

x^{2} - x = λ (2 x - 1)

is zero, then

λ =

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18

If

x = 1

is a common root of

a x^{2} + a x + 2 = 0

and

x^{2} + x + b = 0

, then,

a b =

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19

The value of

c

for which the equation

a x^{2} + 2 b x + c = 0

has equal roots is

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

If

x^{2} + k (4 x + k - 1) + 2 = 0

has equal roots, then the possible values of

k

are

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21

If the sum and product of the roots of the equation

k x^{2} + 6 x + 4 k = 0

are equal, then

k =