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Trigonometrical Equations
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સમીકરણ $2^x + x = 2^{sin \ x} + \sin x$ ના $[0,10\pi ]$ માં કુલ કેટલા ઉકેલો મળે ?
A
$5$
B
$6$
C
$11$
D
$1$
Solution
$\because x \geq \sin x \forall x \in[0,10 \pi]$
$\Rightarrow x+2^{x} \geq \sin x+2^{\sin x} \forall x \in[0,10 \pi]$
and equality holds only at $x=0$
Standard 11
Mathematics