1
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

If $$0< a<5,0< b<5$$ and $$\frac{x^2+5}{2}=x-2[\cos (a+b x)]$$ is satisfied for atleast one real $$x$$, then the least value of $$\frac{a+b}{\pi}$$ is equal to

A
4
B
3
C
2
D
1
2
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

The roots of the equation $$\cos x+\sqrt{3} \sin x=2 \cos 2 x$$, are

A
$$-2 n \pi+\frac{\pi}{3}, n \in Z$$
B
$$\frac{2 n \pi}{3}+\frac{\pi}{9}, n \in Z$$
C
$$2 n \pi-\frac{\pi}{3}, n \in Z$$
D
$$\frac{2 n \pi}{3}-\frac{\pi}{9}, n \in Z$$
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