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STD 11- 2. Relation and Function — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11- 2. Relation and Function1 Mark
MCQ
Domain of the function $\sqrt {\log \left\{ {(5x - {x^2})/6} \right\}} $ is
  • A
    $(2, 3)$
  • ✓
    $[2, 3]$
  • C
    $[1, 2]$
  • D
    $[1, 3]$
✓

Answer

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

or ${x^2} - 5x + 6 \le 0$ or $(x - 2)\,(x - 3) \le 0$.

Hence $2 \le x \le 3.$

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