CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 21

MEDIUM

10th CBSE

IMPORTANT

Earn 100

If $α$ and $β$ are the zeroes of the polynomials $x^{2} - 4 x + 9$ , find a quadratic polynomial whose zeroes are $3 α$ and $3 β$ .

Important Questions on Polynomials

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 22

If

α, β

are zeroes of

x^{2} - 2 x - 1

form a quadratic polynomial whose zeroes are

2 α - 1

and

2 β - 1 .

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 23

If

α

and

β

are the zeroes of the polynomial

6 y^{2} - 7 y + 2

, find a quadratic polynomial whose zeroes are

\frac{1}{α}, \frac{1}{β} .

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 24

If the zeroes of the polynomial

x^{2} - 5 x + k

are reciprocals of each other, find the value of

k ?

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 25

Find the condition that the zeroes of the polynomial

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

are reciprocal of each other.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 26

If the sum of zeroes of quadratic polynomial

3 x^{2} - k x + 6

is

3,

find the value of

k .

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 27

If the sum of zeroes of the polynomial

p (x) = (k^{2} - 14) x^{2} - 2 x - 12

is

1,

find the value(s) of

k .

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 28

If one zero of the polynomial

p (x) = (a^{2} + 9) x^{2} + 13 x + 6 a

is the reciprocal of each other, then the value of

a

is _____?

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 29

If the sum of zeroes of the polynomial

(a + 1) x^{2} + (2 a + 3) x + (3 a + 4)

is

- 1,

then the product of zeroes is _____?