question_answer

If\[f\]is a real-valued differentiable function satisfying\[|f(x)-f(y)|\le {{(x-y)}^{2}},x,y\in R\]and \[f(0)=0,\]then\[f(1)\]equals     AIEEE  Solved  Paper-2005

A) 1             

B)        2             

C)        0             

D)        -1

Correct Answer: C

Solution :

Since, As