Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2021
MCQ (More than One Correct Answer)
+2
-0
Let f and g be periodic functions with the periods T1 and T2 respectively. Then f + g is
A
periodic with period T1 + T2
B
non periodic
C
periodic with the period T1
D
periodic when T1 = T2
2
WB JEE 2018
MCQ (More than One Correct Answer)
+2
-0
Consider the function $$y = {\log _a}(x + \sqrt {{x^2} + 1} ),a > 0,a \ne 1$$. The inverse of the function
A
does not exist
B
is $$x = {\log _{1/a}}(y + \sqrt {{y^2} + 1} )$$
C
is $$x = \sinh (y\log a)$$
D
is $$x = \cosh \left( { - y\log {1 \over a}} \right)$$
3
WB JEE 2016
MCQ (More than One Correct Answer)
+2
-0
Let f : X $$ \to $$ X be such that f [f(x)] = x, for all x$$\in$$X and X$$ \subseteq $$R, then
A
f is one-to-one
B
f is onto
C
f is one-to-one but not onto
D
f is onto but not one-to-one
WB JEE Subjects