1
WB JEE 2023
+1
-0.25 If $${1 \over 6}\sin \theta ,\cos \theta ,\tan \theta$$ are in G.P, then the solution set of $$\theta$$ is

(Here $$n \in N$$)

A
$$2n\pi \, \pm \,{\pi \over 6}$$
B
$$2n\pi \, \pm \,{\pi \over 3}$$
C
$$n\pi + {( - 1)^n}{\pi \over 3}$$
D
$$n\pi + {\pi \over 3}$$
2
WB JEE 2022
+1
-0.25 If $$(\cot {\alpha _1})(\cot {\alpha _2})\,......\,(\cot {\alpha _n}) = 1,0 < {\alpha _1},{\alpha _2},....\,{\alpha _n} < \pi /2$$, then the maximum value of $$(\cos {\alpha _1})(\cos {\alpha _2}).....(\cos {\alpha _n})$$ is given by

A
$${1 \over {{2^{n/2}}}}$$
B
$${1 \over {{2^n}}}$$
C
$${1 \over {2n}}$$
D
1
3
WB JEE 2021
+1
-0.25 The equation 6x + 8x = 10x has
A
no real root
B
infinitely many rational roots
C
exactly one real root
D
two distinct real roots
4
WB JEE 2020
+1
-0.25 $$\cos (2x + 7) = a(2 - \sin x)$$ can have a real solution for
A
all real values of a
B
$$a \in [2,6]$$
C
$$a \in ( - \infty ,2)\backslash \{ 0\}$$
D
$$a \in (0,\infty )$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
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Calculus
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