SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 6

HARD

10th West Bengal Board

IMPORTANT

Earn 100

Find the quadratic equation whose roots are square, of the roots of $4 x^{2} + 6 x + 9 = 0$ .

Important Questions on Quadratic Equation in One Variable

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 7

If one root of

x^{2} + a x + 8 = 0

is

\Rightarrow 16 x^{2} + 36 x + 81 = 0

and the roots of

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

are equal, then find the value of

b

.

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 8

Find the value of

k

for which the sum of squares of the roots of

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

is

\frac{25}{36}

.

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 9

Find the value of

k

for which the roots of

3 x^{2} + 5 x + k = 0

are in the ratio

2 : 3

.

HARD

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 9A

If the roots of the equation $a x^{2} + b x + c = 0$ are $α$ and $β$ , then show that

$\frac{1}{a α + b} + \frac{1}{a β + b} = \frac{b}{a c}$ .

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 10A

If the roots of the equation

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

be

a

and

b

then the value of

a + b + 1

is

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 10A

If the roots of the equation

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

be

α

and

β

, then the value of

\frac{1}{α} + \frac{1}{β}

is

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 10A

If one root of the equation

3 x^{2} - 5 x + c = 0

is

2

, the other root is

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 1 - Quadratic Equation in One Variable>EXERCISE 1B>Q 10A

The quadratic equation whose roots are

3

and

- 5

is