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Inverse Trigonometric Functions question

2022 · 26 Jul · Shift 2 · Q31

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 26 Jul · Shift 2 · Q31

Inverse Trigonometric Functions question

2022 · 26 Jul · Shift 2 · Q31

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If

0 \lt x \lt {1 \over {\sqrt 2 }}

and

{{{{\sin }^{ - 1}}x} \over \alpha } = {{{{\cos }^{ - 1}}x} \over \beta }

, then the value of

\sin \left( {{{2\pi \alpha } \over {\alpha + \beta }}} \right)

is :

A
$4 \sqrt{\left(1-x^{2}\right)}\left(1-2 x^{2}\right)$
B
$4 x \sqrt{\left(1-x^{2}\right)}\left(1-2 x^{2}\right)$
C
$2 x \sqrt{\left(1-x^{2}\right)}\left(1-4 x^{2}\right)$
D
$4 \sqrt{\left(1-x^{2}\right)}\left(1-4 x^{2}\right)$

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