Home
Class 11
MATHS
f(x) is a polynomial funciton, f : R to ...

`f(x)` is a polynomial funciton, `f : R to R`, such that `f(2x) = f'(x) f^('')(x)`
Equation `f(x) = x` has

A

three real and positive roots

B

three real and negative roots

C

one real root

D

three real roots such that sum of root is zero

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)|133 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|13 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

f(x) is a polynomial funciton, f : R to R , such that f(2x) = f'(x) f^('')(x) The value of f(3) is

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

Given: f: R to R such that f(x+f(x)) =4f(x) and f(0)=1 . Find f(1), f(5), f(21) .

If f(x) is a polynomial fin x( gt0 ) satisfying the equation f(x)+f(1//x)=f(x).f(1//x) and f(2)=9 , then f(3)=

If f (x) is a polynomial function satisfying f(x).f((1)/(x))=f(x)+f((1)/(x)) and f(4) =257 then f(3) =

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

If f : R to R such that f(x- f(y)) = f( f(y) ) + x f (y) +f(x) - 1 AA , y in R then f(x) is

If a polynomial of degree 'n' satisfies f(x)= f'(x) f^(11) (x) AA n in R " then " f(x) is