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JEE Main 31-Jan-2024 Paper - Shift 2 — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEEJEE Main 31-Jan-2024 Paper - Shift 24 Marks
MCQ
Consider the function $f :(0, \infty) \rightarrow R$ defined by $f ( x )= e ^{-\left|\log _{ c } x \right|}$. If $m$ and $n$ be respectively the number of points at which $f$ is not continuous and $f$ is not differentiable, then $m + n$ is
  • B
    3
  • C
    1
  • D
    2
✓

Answer

$ f:(0, \infty) \rightarrow R$
$ f(x)=e^{-\left|\log _c\right|}$
$ f(x)=\frac{1}{e^{\ln x}}=\{\frac{1}{e^{-\ln x}} ; 0\}$
Image
$m = 0 ($No point at which function is not continuous$)$
$n = 1 ($Not differentiable$)$
$\therefore m + n = 1$

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