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Inverse Trigonometric Functions question

2003 · Shift 0 · Q77

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2003 · Shift 0 · Q77

Inverse Trigonometric Functions question

2003 · Shift 0 · Q77

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The trigonometric equation

{\sin ^{ - 1}}x = 2{\sin ^{ - 1}}a

has a solution for :

A
$\left| a \right| \ge {1 \over {\sqrt 2 }}$
B
${1 \over 2} \lt \left| a \right| \lt {1 \over {\sqrt 2 }}$
C
all real values of $a$
D
$\left| a \right| \le {1 \over {\sqrt 2 }}$

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