Home
Class 12
MATHS
Let d:RtoR be such that f is injective a...

Let `d:RtoR` be such that f is injective and `f(x)f(y)=f(x+y)` for `AAx,yinR`. If `f(x),f(y),f(z)` are in GP, then x,y,z are in

A

AP always

B

GP always

C

AP depending on the value of x,y,z

D

GP depending on the value of x,y,z

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -2|7 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -3|21 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise WBJEE 2019|45 Videos

Similar Questions

Explore conceptually related problems

Let F : R to R be such that f is injective and f(x) f(y) =f(x+y) for all x,y in RR If f(x) , f(y) , f(z) are in G.P ., then x,y,z are in -

Let f : R rarr R be such that f is is injective and f(x) f(y) = f(x + y) for all x , y in R . If f(x), f(y), f(z) are in G.P. then x , y , z are in

Let f(x)=x+f(x-1) for AAx in R . If f(0)=1,f i n d \ f(100) .

If the function f satisfies the reation f(x+y)+f(x-y)=2f(x) f(y) Aax,yin RR and f(0) ne 0 then ____

If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA x, y, in R and f(0) ne 0 , then

Let f : R to R be a function such that f(0)=1 and for any x,y in R, f(xy+1)=f(x)f(y)-f(y)-x+2. Then f is

Let R rarr R be a function such that f(x+y) = f(x)+f(y) AA x, y in R . If f(x) is differentiable at x= 0, then

Let f(x+y)=f(x)+f(y)+2xy-1 AAx,yinRR, If f(x) is differentiable and f'(0) = sin phi then -

A function satisfies the conditions f(x+y)=f(x) + f(y), AA x, y in R then f is

If f(x)f(y) + 2 = f(x) + f(y) + f(xy) and f(1) = 2, f'(1) = 2, then find f(x).