RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 5 of Exercise 2.2

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5

If the zeros of the polynomial are in A.P., prove that .

Let are the zeros of the given polynomial.


Sum of the zeros =


⇒ =


⇒ =


⇒ =


Since is the zero of the polynomial, therefore



=, we get





⇒


⇒


Chapter Exercises

Exercise 2.1
Exercise 2.2
Exercise 2.3
CCE - Formative Assessment

More Exercise Questions

1

Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients in each case:

(i)


(ii)

2

Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time, and product of its zeros as 3, -1 and -3 respectively.
3

If the zeros of the polynomial are in A.P., find them.
4

Find the condition that the zeros of the polynomial may be in A.P.
5

If the zeros of the polynomial are in A.P., prove that .
6

If the zeros of the polynomial are in A.P., find the value of k.

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