Question

27.
For second degree polynomial it is seen that the roots are equal. Then what is the relation
between the Rolles point c and the root x?
(a) c=x2
(b) They are independent
(c) c = x
(d) none of these​

Answer 1

Answer:

a) True

Step-by-step explanation:

The key here is to rewrite the function as y = -(x – 1)2 + 1

Observe here that on substituting – 19765 and 19767 in the equation we get

(-19766)2 + 1 and (-19766)2 + 1 respectively.

As we are dealing with their squared values they have to be equal

We have

f(-19765) = f(19767)

Polynomial functions are continuous and differentiable over the whole domain and hence by Rolles Theorem we must have a c such that f'(c) = 0 in the interval [-19765, 19767]

Hence, the claim is true.