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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions2 Marks
MCQ
Domain of the function $\sqrt{\log \left\{\left(5 x-x^2\right) / 6\right\}}$ is
  • A
    (2, 3)
  • ✓
    [2, 3]
  • C
    [1, 2]
  • D
    [1, 3]
✓

Answer

Correct option: B.
[2, 3]
(B)
$\log \left\{\frac{5 x-x^2}{6}\right\} \geq 0 \Rightarrow \frac{5 x-x^2}{6} \geq 1$
$\Rightarrow x^2-5 x+6 \leq 0$ or $(x-2)(x-3) \leq 0$.
Hence, $2 \leq x \leq 3$.

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