WB JEE 2021 | Functions Question 20 | Mathematics | WB JEE - ExamSIDE.com

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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 $$x = \cosh \left( { - y\log {1 \over a}} \right)$$

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