JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 25 July 2022, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

Let

f(x)=\begin{cases}\left|\,4x^2-8x+5\,\right|, & \text{if } 8x^2-6x+1\ge0\\ [\,4x^2-8x+5\,], & \text{if } 8x^2-6x+1<0,\end{cases}

where

[\alpha]

denotes the greatest integer less than or equal to

\alpha

. Then the number of points in

\mathbf{R}

where

f

is not differentiable is ______.

Official answer

NTA final key (2022 Session 2).

Same idea in other shifts