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Trigonometrical Equations
hard
સમીકરણ $2 \theta-\cos ^{2} \theta+\sqrt{2}=0$ નાં $R$ માં ઉકેલોની સંખ્યા $\dots\dots$ છે.
A
$1$
B
$2$
C
$3$
D
$4$
(JEE MAIN-2022)
Solution
$2 \theta-\cos ^{2} \theta+\sqrt{2}=0$
$\Rightarrow \cos ^{2} \theta=2 \theta+\sqrt{2}$
$y=2 \theta+\sqrt{2}$
Both graphs intersect at one point.
Standard 11
Mathematics
