1
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

Total number of solutions of $$\left| {\cot x} \right| = \cot x + {1 \over {\sin x}},x \in [0,3\pi ]$$ is equal to

A
1
B
2
C
3
D
0
2
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

The equation $$(\cos \beta - 1){x^2} + (\cos \beta )x + \sin \beta = 0$$ in the variable x has real roots, then $$\beta$$ lies in the interval

A
(0, 2$$\pi$$)
B
($$-$$$$\pi$$, 0)
C
$$\left( { - {\pi \over 2},{\pi \over 2}} \right)$$
D
(0, $$\pi$$)
3
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

The number of distinct solutions of the equation $${5 \over 4}{\cos ^2}2x + {\cos ^4}x + {\sin ^4}x + {\cos ^6}x = 2$$ in the interval [0, 2$$\pi$$] is

A
8
B
10
C
6
D
15
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