Solve for x : x ( ^ -1 x)+ ( ^ -1 x) ^2=51 50 - Vidyadip

MCQ

Solve for $x : \{\text{x}\cos(\cot^{-1}\text{x})+\sin(\cot^{-1}\text{x})\}^2=\frac{51}{50}$

A
$\frac{1}{\sqrt{2}}$
✓
$\frac{1}{5\sqrt{2}}$
C
$2\sqrt{2}$
D
$5\sqrt{2}$

✓

Answer

Correct option: B.

$\frac{1}{5\sqrt{2}}$

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