🛠️ JEE➗ Maths

Let \( f \) be any function defined on \( R \) and let it satisfy the condition: \( |f(x)-f(y)| \leq\left|(x-y)^{2}\righ…

Q1

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

[JEE Main 2021, 26 Feb (Shift 1)]

a

\( f(x) \) can take any value in \( R \)

b

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

c

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

d

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

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