Let f be any|Continuity and Differentiability |JEE MAIN 2021

JEE MAIN 2021

26-02-2021 S1

Question

Let f be any function defined on R and let it satisfy the condition : $$ |f(x)-f(y)| \leq\left|(x-y)^2\right|, \forall(x, y) \in R $$ If $f(0)=1$, then :

Select the correct option:

$f(x)$ can take any value of $R$

$f(x)<0, \forall x \in R$

$f(x)=0, \forall x \in R$

$f(x)>0, \forall x \in R$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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