RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 (Updated for 2021-22)

RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1

RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1: Problems dealing with finding the zeros of polynomials and verifying the link between the zeros and their coefficients can be addressed in RD Sharma Solutions Class 10 Exercise 2.1. The RD Sharma Solutions for Class 10 Maths Chapter 2 Polynomials Exercise 2.1 PDF is provided here to help students excel in the exercise problems and increase their confidence.

Download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 Free PDF

 


RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1

Access answers to RD Sharma Solutions Class 10 Maths Chapter 2 Exercise 2.1- Important Question with Answers

Question 1.
Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their co-efficients :
rd-sharma-class-10-solutions-chapter-2-polynomials-ex-2-1-1
Solution:
(i) f(x) = x2 – 2x – 8
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Question 2.
For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorization.
Maths RD Sharma Class 10 Solutions Chapter 2 Polynomials
Solution:
(i) Given that, sum of zeroes (S) = – \(\frac { 8 }{ 3 }\)
and product of zeroes (P) = \(\frac { 4 }{ 3 }\)
Required quadratic expression,
10th Maths Solution Book Pdf Chapter 2 Polynomials
RD Sharma 10 Chapter 2 Polynomials
RD Sharma Class 10 Book Pdf Chapter 2 Polynomials

Question 3.
If α and β are the zeros of the quadratic polynomial f(x) = x2 – 5x + 4, find the value of \(\frac { 1 }{ \alpha } +\frac { 1 }{ \beta } -2\alpha \beta\).
Solution:
Solution Of RD Sharma Class 10 Chapter 2 Polynomials

Question 4.
If α and β are the zeros of the quadratic polynomial p(y) = 5y2 – 7y + 1, find the value of \(\frac { 1 }{ \alpha } +\frac { 1 }{ \beta }\)
Solution:
RD Sharma 10 Solutions Chapter 2 Polynomials
RD Sharma Maths Book For Class 10 Solution Chapter 2 Polynomials

Question 5.
If α and β are the zeros of the quadratic polynomial f(x) = x2 – x – 4, find the value of \(\frac { 1 }{ \alpha } +\frac { 1 }{ \beta } -\alpha \beta\)
Solution:
RD Sharma Class 10 Maths Chapter 2 Polynomials

Question 6.
If α and β are the zeros of the quadratic polynomial f(x) = x2 + x – 2, find the value of \(\frac { 1 }{ \alpha } -\frac { 1 }{ \beta }\)
Solution:
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 2 Polynomials
Answers Of RD Sharma Class 10 Chapter 2 Polynomials

Question 7.
If one zero of the quadratic polynomial f(x) = 4x2 – 8kx – 9 is negative of the other, find the value of k.
Solution:
Class 10 RD Sharma Pdf Chapter 2 Polynomials

Question 8.
If the sum of the zeros of the quadratic polynomial f(t) = kt2 + 2t + 3k is equal to their product, find the value of k.
Solution:
RD Sharma Class 10 Solutions Pdf Free Download Chapter 2 Polynomials

Question 9.
If α and β are the zeros of the quadratic polynomial p(x) = 4x2 – 5x – 1, find the value of α2β + αβ2.
Solution:
RD Sharma Class 10 Chapter 2 Polynomials

Question 10.
If α and β are the zeros of the quadratic polynomial f(t) = t2 – 4t + 3, find the value of α4β3 + α3β4.
Solution:
Polynomials Class 10 RD Sharma

Question 11.
If α and β are the zeros of the quadratic polynomial f (x) = 6x4 + x – 2, find the value of \(\frac { \alpha }{ \beta } +\frac { \beta }{ \alpha }\)
Solution:
RD Sharma Class 10 Solutions Real Numbers
RD Sharma Class 10 Solutions Chapter 2 Polynomials

Question 12.
If α and β are the zeros of the quadratic polynomial p(s) = 3s2 – 6s + 4, find the value of \(\frac { \alpha }{ \beta } +\frac { \beta }{ \alpha } +2\left( \frac { 1 }{ \alpha } +\frac { 1 }{ \beta } \right) +3\alpha \beta\)
Solution:
RD Sharma Class 10 Pdf Chapter 2 Polynomials
RD Sharma Solutions Class 10 Chapter 2 Polynomials

Question 13.
If the squared difference of the zeros of the quadratic polynomial f(x) = x2 + px + 45 is equal to 144, find the value of p
Solution:
Learncbse.In Class 10 Chapter 2 Polynomials

Question 14.
If α and β are the zeros of the quadratic polynomial f(x) = x2 – px + q, prove that:
Class 10 RD Sharma Solutions Chapter 2 Polynomials Ex 2.1
Solution:
RD Sharma Class 10 Pdf Free Download Full Book Chapter 2 Polynomials
RD Sharma Class 10 Solution Chapter 2 Polynomials

Question 15.
If α and β are the zeros of the quadratic polynomial f(x) = x2 – p(x + 1) – c, show that (α + 1) (β + 1) = 1 – c.
Solution:
RD Sharma Class 10 Pdf Ebook Chapter 2 Polynomials

Question 16.
If α and β are the zeros of the quadratic polynomial such that α + β = 24 and α – β = 8, find a quadratic polynomial having α and β as its zeros.
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 2 Polynomials

Question 17.
If α and β are the zeros of the quadratic polynomial f(x) = x2 – 1, find a quadratic polynomial whose zeros are \(\frac { 2\alpha }{ \beta }\) and \(\frac { 2\beta }{ \alpha }\)
Solution:
RD Sharma Class 10 Book Pdf Free Download Chapter 2 Polynomials
Class 10 RD Sharma Chapter 2 Polynomials

Question 18.
If α and β are the zeros of the quadratic polynomial f(x) = x2 – 3x – 2, find a quadratic polynomial whose zeros are \(\frac { 1 }{ 2\alpha +\beta }\) and \(\frac { 1 }{ 2\beta +\alpha }\)
Solution:
RD Sharma Maths Class 10 Solutions Chapter 2 Polynomials
RD Sharma 10 Class Solutions Chapter 2 Polynomials

Question 19.
If α and β are the zeroes of the polynomial f(x) = x2 + px + q, form a polynomial whose zeros are (α + β)2 and (α – β)2.
Solution:
RD Sharma Class 10 Textbook PDF Chapter 2 Polynomials
Maths RD Sharma Class 10 Solutions Chapter 2 Polynomials

Question 20.
If α and β are the zeros of the quadratic polynomial f(x) = x2 – 2x + 3, find a polynomial whose roots are :
(i) α + 2, β + 2
(ii) \(\frac { \alpha -1 }{ \alpha +1 } ,\frac { \beta -1 }{ \beta +1 }\)
Solution:
10th Maths Solution Book Pdf Chapter 2 Polynomials
RD Sharma 10 Chapter 2 Polynomials
RD Sharma Class 10 Book Pdf Chapter 2 Polynomials

Question 21.
If α and β are the zeros of the quadratic polynomial f(x) = ax2 + bx + c, then evaluate :
Solution Of RD Sharma Class 10 Chapter 2 Polynomials
RD Sharma 10 Solutions Chapter 2 Polynomials
Solution:
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We have provided complete details of RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1. If you have any queries related to CBSE Class 10, feel free to ask us in the comment section below.

FAQs on RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1

Where can I download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 free PDF?

You can download RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 free PDF from the above article.

What are the benefits of using RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1?

1. Correct answers according to the last CBSE guidelines and syllabus.
2. The RD Sharma Class 10 Solutions Chapter 2 Exercise 2.1 is written in simple language to assist students in their board examination, & competitive examination preparation.

Is it required to remember all of the questions in Chapter 2 Exercise 2.1 of RD Sharma Solutions for Class 10 Maths?

Yes, all of the questions in RD Sharma Solutions for Class 10 Maths Chapter 2 Exercise 2.1 must be learned. These questions may appear on both board exams and class tests. Students will be prepared for their board exams if they learn these questions.

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