WB JEE 2021 | Functions Question 30 | Mathematics

Joint Entrance Examination

Medical

Graduate Aptitude Test in Engineering

Civil Services

Defence

Staff Selection Commission

CBSE

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

EXAM MAP

Joint Entrance Examination

JEE Main JEE Advanced WB JEE BITSAT MHT CET KCET COMEDK VITEEE AP EAPCET

Medical

NEET AIIMS

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Civil Services

UPSC Civil Service

Defence

NDA

Staff Selection Commission

SSC CGL Tier I

CBSE

Class 12