Test Index

IIT JEE Advanced 2011 Paper 1

© examsnet.com

Question : 54

Total: 69

Let f: R → R be a function such that
f (x + y) = f (x) + f (y) , for all x, y ∊ R. If f (x) is differentiable at x = 0, then

f (x) is differentiable only in a finite interval containing zero.
f (x) is continuous ∀ x ∊ R.
f ′(x) is constant ∀ x ∊ R.
f (x) is differentiable except at finitely many points.

Go to Question:

Prev Question

Next Question