If ${\sin ^x}\alpha + {\cos ^x}\alpha \ge 1,0 < \alpha < \frac{\pi }{2},\;$ then

$x \in \left( {2,\infty } \right)$

$x \in \left[ { - 1,1} \right]$

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Analyzing +4 | -1

{\sin ^x}\alpha + {\cos ^x}\alpha \ge 1,0 < \alpha < \frac{\pi }{2},\;

then

View answer and explanation

Correct option: B

x \in \left( { - \infty ,2} \right]

Option B

x \in \left( { - \infty ,2} \right]

is correct because the inequality holds true for x less than or equal to 2.

Practice All Chapter MCQs →

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f\left( x \right) = x - \left[ x \right]

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S=\left\{x: f(x)=f^{-1}(x)\right\}