MCQ
$\sqrt{cos ^ 2 x - 10 cos x + 25} + 2$ નો વિસ્તાર ..........છે.
- A$\left[4, 6\right]$
- B$\left(6, 8\right)$
- ✓$\left[6, 8\right]$
- D$\left[8, 10\right]$
$\sqrt{cos ^ 2 x - 10 cos x + 25} + 2$
$= \sqrt{\left(cos x - 5\right)^2} + 2$
$= |cos x - 5 | + 2$
$cos x$ નો વિસ્તાર
$- 1 \leq cos x \leq 1 \Leftrightarrow - 6 \leq cos x - 5 \leq - 4$
$\Leftrightarrow 4 \leq | cos x - 5 | \leq 6 $
$\Leftrightarrow 6 \leq | cos x - 5 | + 2 \leq 8 $
$\Leftrightarrow 6 \leq f (x) \leq 8 $
$\therefore \left[6, 8\right]$ વિસ્તાર
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