WB JEE 2024 | Functions Question 16 | Mathematics

WB JEE 2024

MCQ (More than One Correct Answer)

-0

The function $$\mathrm{f}: \mathbb{R} \rightarrow \mathbb{R}$$ defined by $$\mathrm{f}(x)=\mathrm{e}^x+\mathrm{e}^{-x}$$ is :

one-one

onto

bijective

not bijective

WB JEE 2024

MCQ (More than One Correct Answer)

-0

Choose the correct statement :

$$x+\sin 2 x$$ is a periodic function

$$x+\sin 2 x$$ is not a periodic function

$$\cos (\sqrt{x}+1)$$ is a periodic function

$$\cos (\sqrt{x}+1)$$ is not a periodic function

WB JEE 2022

MCQ (More than One Correct Answer)

-0

Let $$f(x) = {x^2} + x\sin x - \cos x$$. Then

f(x) = 0 has at least one real root

f(x) = 0 has no real root

f(x) = 0 has at least one positive root

f(x) = 0 has at least one negative root

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 Subjects