PLEASE SOLVE IT STEP BY STEP Read the following comprehensio

PLEASE SOLVE IT STEP BY STEP

Read the following comprehension carefully: fo), g(x), h(X) all tinuous and differentiable functions in [a, bl also a c s b and f(a) - g(a) -h(a) Point of intersection of the tangent at x = c with chord joining x = a and x = b is on the left of c in y = f(x) and on the right in y = h(x). And tangent at x = c is parallel to the chord in case of y = g(x). Now answer the following questions Now answer the following questions (10- 12): If f(x) > g(x) > h\'(x) then (A) f(b) h(b) (D) f(b) 2 g(b) 2 h(b) If f(b) = g(b) = h(b) then (A) f\'(c) = g(C) = h(c) 1 1. (D) none of these a+b 12. If c = _ for each b, then (A) g(x) = Ax2 + Bx + C (C) g(x) = sin x (B) g(x) = log x (D) g(x) = ex

Solution

10.

Given that f\'(x)> g\'(x)>h\'(x) assume a constant function defined at x= C then the functions would get a constant on differentiation which will be all equal or greater than or equal to those functions. So that option D holds good for this.

11.

The answer for this also option D because if u take constants for f(x) , g(x) and h(x) then the differentiation of a constant is \'\'0\" but the functions are not equal.