# NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1

## NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1

If you need solutions in Hindi, Click for Hindi Medium solutions of 10 Maths Exercise 2.1.   Exercise 2.2

Exercise 2.3

Exercise 2.4

#### Class 10 Maths Exercise 2.1 Solutions in Hindi Medium Exercise 2.2

Exercise 2.3

Exercise 2.4

To get the solutions in English, Click for English Medium solutions.

##### Important Questions with answers for Practice
###### Class 10 Maths – Polynomials
1. What will be the number of zeroes of a linear polynomial p(x) if its graph (i) passes through the origin. (ii) doesn’t intersect or touch x-axis at any point? [Answer: (i) 1, (ii) 0]
2. Find the quadratic polynomial whose zeroes are (5 + 2√3) and (5 – 2√3) [Answer: x² – 10x + 13 = 0]
3. If one zero of p(x) = 4x² – (8k² – 40k)x – 9 is negative of the other, find values of k. [Answer: k =0, 5]
4. What number should be added to the polynomial x² – 5x + 4, so that 3 is a zero of polynomial so obtained. [Answer: 2]
5. How many (i) maximum (ii) minimum number of zeroes can a quadratic polynomial have? [Answer: 2, 0]
6. What will be the number of real zeroes of the polynomial x² + 1? [Answer: 0]
7. If α and β are zeroes of polynomial 6x² – 7x – 3, then form a quadratic polynomial whose zeroes are 2α and 2β. [Answer: 3x² – 7x – 6]
8. If α and 1/α are zeroes of 4x² – 17x + k – 4, find values of k. [Answer: 8]
9. What will be the number of zeroes of the polynomials whose graphs are parallel to (i) y-axis; (ii) x-axis. [Answer: 1, 0]
10. What will be number of zeroes of the polynomial whose graphs are either touching or intersecting the axes only at the points:
(i) (–3, 0) (0, 2) and (3, 0)
(ii) (0, 4), (0, 0) and (0, –4) [Answer: 2, 1]
11. If –3 is one of the zeroes of the polynomial (k – 1) x² + kx + 1, find the value of k. [Answer: 4/3]
12. If the product of zeroes of ax² – 6x – 6 is 4 find the value of a. Hence find the sum of its zeroes. [Answer: a = -3/2, sum = – 4]
13. If α and β are zeroes of the polynomial x² – a (x + 1) – b such that (α + 1) (β + 1) = 0, find the value of b. [Answer: 1]
14. If zeroes of x² – kx + 6 are in the ratio 3 : 2, find k. [Answer: -5, 5]