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Let (f(x+y)-f(x))/(2)=(f(y)-1)/(2)+xy, f...

Let `(f(x+y)-f(x))/(2)=(f(y)-1)/(2)+xy`, for all `x,yinR,f(x)` is differentiable and `f'(0)=1.` Let `g(x)` be a derivable function at `x=0` and follows the function rule `g((x+y)/(k))=(g(x)+g(y))/(k),kinR,kne0,2andg'(0)-lambdag'(0)ne0.`
If the graphs of `y=f(x) and y=g(x)` intersect in coincident points then `lambda` can take values

A

-3

B

1

C

-1

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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