Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
If sin6$$\theta$$ + sin4$$\theta$$ + sin2$$\theta$$ = 0, then general value of $$\theta$$ is
A
$${{n\pi } \over 4},n\pi \pm {\pi \over 3}$$
B
$${{n\pi } \over 4},n\pi \pm {\pi \over 6}$$
C
$${{n\pi } \over 4},2n\pi \pm {\pi \over 3}$$
D
$${{n\pi } \over 4},2n\pi \pm {\pi \over 6}$$
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
The equation $$\sin x(\sin x + \cos x) = k$$ has real solutions, where k is a real number. Then,
A
$$0 \le k \le {{1 + \sqrt 2 } \over 2}$$
B
$$2 - \sqrt 3 \le k \le 2 + \sqrt 3 $$
C
$$0 \le k \le 2 - \sqrt 3 $$
D
$${{1 - \sqrt 2 } \over 2} \le k \le {{1 + \sqrt 2 } \over 2}$$
3
WB JEE 2016
MCQ (Single Correct Answer)
+1
-0.25
The order of the differential equation of all parabolas whose axis of symmetry along X-axis is
A
2
B
3
C
1
D
None of these
4
WB JEE 2016
MCQ (Single Correct Answer)
+1
-0.25
The area enclosed by $$y = \sqrt {5 - {x^2}} $$ and $$y = |x - 1|$$ is
A
$$\left( {{{5\pi } \over 4} - 2} \right)$$ sq units
B
$$\left( {{{5\pi - 2} \over 2}} \right)$$ sq units
C
$$\left( {{{5\pi } \over 4} - {1 \over 2}} \right)$$ sq units
D
$$\left( {{\pi \over 2} - 5} \right)$$ sq units
WB JEE Subjects