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Trigonometric Ratio and Identites question

2020 · 2 Sep · Shift 2 · Q25

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2020 · 2 Sep · Shift 2 · Q25

Trigonometric Ratio and Identites question

2020 · 2 Sep · Shift 2 · Q25

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If the equation cos4

\theta

+ sin4

\theta

+

\lambda

= 0 has real solutions for

\theta

, then

\lambda

lies in the interval :

A
$\left[ { - {3 \over 2}, - {5 \over 4}} \right]$
B
$\left( { - {1 \over 2}, - {1 \over 4}} \right]$
C
$\left( { - {5 \over 4}, - 1} \right]$
D
$\left[ { - 1, - {1 \over 2}} \right]$

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