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JEE Main 06-Apr-2024 Paper - Shift 2 — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEEJEE Main 06-Apr-2024 Paper - Shift 24 Marks
MCQ
Let $f(x)=\frac{1}{7-\sin 5 x}$ be a function defined on $R$. Then the range of the function $f(x)$ is equal to:
  • A
    $\left[\frac{1}{8}, \frac{1}{5}\right]$
  • B
    $\left[\frac{1}{7}, \frac{1}{6}\right]$
  • C
    $\left[\frac{1}{7}, \frac{1}{5}\right]$
  • D
    $\left[\frac{1}{8}, \frac{1}{6}\right]$
✓

Answer

$\sin 5 x \in(-1,1)$
$-\sin 5 x \in(-1,1)$
$7-\sin 5 x \in(6,8)$
$\frac{1}{7-\sin 5 x} \in\left[\frac{1}{8}, \frac{1}{6}\right]$

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