JEE Main Mock Test 3

Q 1 / 25
1:00:00
Section A - MCQHardJEE Main 2023
Question 1+4 marks
Let f:R→Rf: \mathbf{R} \rightarrow \mathbf{R} be defined as : f(x)={a−bcos⁡2xx2;x<0x2+cx+2;0≤x≤12x+1;x>1f(x)= \begin{cases}\frac{a-b \cos 2 x}{x^2} ; & x<0 \\\\ x^2+c x+2 ; & 0 \leq x \leq 1 \\\\ 2 x+1 ; & x>1\end{cases} If ff is continuous everywhere in R\mathbf{R} and mm is the number of points where ff is NOT differential then m+a+b+c\mathrm{m}+\mathrm{a}+\mathrm{b}+\mathrm{c} equals :
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