WB JEE 2022 | Functions Question 15 | Mathematics

WB JEE 2022

MCQ (More than One Correct Answer)

-0

Let p(x) be a polynomial with real co-efficient, p(0) = 1 and p'(x) > 0 for all x $$\in$$ R. Then

p(x) has at least two real roots

p(x) has only one positive real root

p(x) may have negative real root

p(x) has infinitely many real roots

WB JEE 2021

MCQ (More than One Correct Answer)

-0

Let f and g be periodic functions with the periods T₁ and T₂ respectively. Then f + g is

periodic with period T₁ + T₂

non periodic

periodic with the period T₁

periodic when T₁ = T₂

WB JEE 2018

MCQ (More than One Correct Answer)

-0

Consider the function $$y = {\log _a}(x + \sqrt {{x^2} + 1} ),a > 0,a \ne 1$$. The inverse of the function

does not exist

is $$x = {\log _{1/a}}(y + \sqrt {{y^2} + 1} )$$

is $$x = \sinh (y\log a)$$

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

WB JEE Subjects