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Trigonometric Ratio and Identites question

2023 · 29 Jan · Shift 2 · Q31

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2023 · 29 Jan · Shift 2 · Q31

Trigonometric Ratio and Identites question

2023 · 29 Jan · Shift 2 · Q31

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

The set of all values of

\lambda

for which the equation

{\cos ^2}2x - 2{\sin ^4}x - 2{\cos ^2}x = \lambda

has a real solution

x

, is :

A
$\left[ { - 2, - 1} \right]$
B
$\left[ { - {3 \over 2}, - 1} \right]$
C
$\left[ { - 2, - {3 \over 2}} \right]$
D
$\left[ { - 1, - {1 \over 2}} \right]$

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