# NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.2

NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.2 Polynomials – बहुपद in Hindi Medium and English Medium free to download in PDF or study online without downloading, updated for new academic session 2020-21.

You can view in Video Format solutions both in online format or in offline format (PDF). Download CBSE NCERT Solutions Apps 2020-21 based on updated NCERT Solutions for the session 2020-2021.## NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.2

Class: | 10 |

Subject: | Maths – गणित |

Chapter 2: | Exercise 2.2 |

### 10 Maths Chapter 2 Exercise 2.2 Solutions

Updated and simplified form of solutions fit for academic years 2020-21 as per CBSE Curriculum for CBSE board, Gujrat Board, MP Board and UP Board (High School – 2020-21) students using NCERT Books 2020-21. NCERT Solutions for class 10 Maths Chapter 2 Exercise 2.2 Polynomials in English and Hindi Medium are given below. If you find any difficulty to understand these solutions, please specify us without any hesitation.

### Class 10 Maths Exercise 2.2 Solutions

#### Important Questions with Answers on Polynomials

1. If one zero of the polynomial (a² + 9)x² + 13x + 6a is the reciprocal of the other, find the value of a. [Answer: a = 3]

2. How many (i) maximum (ii) minimum number of zeroes can a quadratic polynomial have? [Answer: (i) 2, (ii) 0]

3. What will be the number of real zeroes of the polynomial x² + 1? [Answer: 0]

4. If α and β are zeroes of polynomial 6x² – 7x – 3, then form a quadratic polynomial where zeroes are 2α and 2β. [Answer: 3x² – 7x – 6]

5. If α and 1/α are zeroes of 4x² – 17x + k – 4, find value of k. [Answer: k = 8]

6. What will be the number of zeroes of the polynomials whose graphs are parallel to (i) y-axis (ii) x-axis. [Answer: (i) 1, (ii) 0]

7. Divide 2x² + x – 20 by x + 3 and verify division algorithm.

8. What will be number of zeroes of the polynomials whose graphs are either touching or intersecting the axis only at the points: (i) (–3, 0), (0, 2) & (3, 0) (ii) (0, 4), (0, 0) and (0, –4). [Answer: (i) 2, (ii) 1]

9. If –3 is one of the zeroes of the polynomial (k– 1)x² + k x + 1, find the value of k. [Answer: 4/3]

10. If α and β are the zeroes of the polynomial p(x) = x² + x + 1, find the value of α² + β². [Answer: -1]

##### Questions from Board Papers

1. 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 of zeroes = – 4]

2. 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]

3. It is given that 1 is one of the zeroes of the polynomial 7x – x³ – 6. Find its other zeroes. [Answer: -3, 2]

4. If zeroes of x² – kx + 6 are in the ratio 3 : 2, find k. [Answer: -5, 5]

5. If one zero of the quadratic polynomial (k² + k)x² + 68x + 6k is reciprocal of the other, find k. [Answer: 5]

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