MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 7

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10th CBSE

IMPORTANT

Earn 100

For what value of $k, (4 - k) x^{2} + (2 k + 4) x + (8 k + 1) = 0$ , is a perfect square.

Important Questions on Quadratic Equations

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 8

Find the least positive value of $k$ for which the quadratic equation $x^{2} + k x + 4 = 0$ has real roots.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 9

Find the values of

k

for which the quadratic equation

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

has equal roots. Also, find the roots.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 10

Find the values of

p

for which the quadratic equation

(2 p + 1) x^{2} - (7 p + 2) x + (7 p - 3) = 0

has equal roots. Also, find these roots.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 11

If

- 5

is a root of the quadratic equation

2 x^{2} + p x - 15 = 0

and the quadratic equation

p (x^{2} + x) + k = 0

has equal roots, find the value of

k

.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 12

If

2

is a root of the quadratic equation

3 x^{2} + p x - 8 = 0

and the quadratic equation

4 x^{2} - 2 p x + k = 0

has equal roots, find the value of

k

.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 13

If

1

is a root of the quadratic equation

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

and the quadratic equation

a (x^{2} + 6 x) - b = 0

has equal roots, find the value of

b

.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 14

Find the value of

p

for which the quadratic equation

(p + 1) x^{2} - 6 (p + 1) x + 3 (p + q) = 0, p \neq - 1

has equal roots. Hence, find the roots of the equation.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.6>Q 15

Determine the nature of the roots of the following quadratic equation:

$(x - 2 a) (x - 2 b) = 4 a b$