Let be defined by

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

f:(-1,1)\to\mathbb{R}

be defined by

f(x)=\max\{-|x|,-\sqrt{1-x^2}\}

. If

K

is the set of all points at which

f

is not differentiable, then

K

has exactly (a) Five elements (b) One element (c) Three elements (d) Two elements