Home
Class 12
MATHS
If f(x)=(x-p)(x-q)(x-r) where plt qlt lt...

If `f(x)=(x-p)(x-q)(x-r)` where `plt qlt ltr,` are real numbers, then the application, of Rolle's theorem on f leasds to

A

`(p+q+r) (pq +qr +rp)=3`

B

`(p+q +r)^2 =3 (pq +qr +rp)`

C

`(p+q +r)^2 gt 3(pq +qr +rp)`

D

`(p+q+r)^2 lt 3(pq +qr +rp)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Discuss the applicability of Rolles theorem for f(x)=tan x on [0,pi]

Discuss the applicability of Rolles theorem for f(x)=|x| on [-1,1]

For the function f(x)=e^(cos x), Rolle's theorem is

Given f(x)=ax+b and f(f(f(x)))=27x+13 where a and b are real numbers then

Discuss the applicability of Rolle's theorem, when : f(x) = x^(½) " on " [-1, 1]

Verify Rolle's theorem for f(x)=x,x in[1,2] .

Discuss the applicability of Rolle's theorem, when : f(x) = "cos"(1)/(x) " on [-1, 1]

Discuss the applicability of Rolles theorem for the function f(x)=x^(2/3) on [-1,1]

Consider the function f(x)=e^(-2x)sin2x over the interval (0,pi/2) . A real number c in(0,pi/2) , as guaranteed by Rolle's theorem such that f'(c)=0, is