WB JEE 2020 | Functions Question 23 | Mathematics

WB JEE 2020

MCQ (Single Correct Answer)

-0.5

Let $$f(x) = \sqrt {{x^2} - 3x + 2} $$ and $$g(x) = \sqrt x $$ be two given functions. If S be the domain of fog and T be the domain of gof, then

S = T

S $$ \cap $$ T = $$\phi $$

S $$ \cap $$ T is a singleton

S $$ \cap $$ T is an interval

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

Let $$f:R \to R$$ be defined by $$f(x) = {x^2} - {{{x^2}} \over {1 + {x^2}}}$$ for all $$x \in R$$. Then,

f is one-one but not onto mapping

f is onto but not one-one mapping

f is both one-one and onto

f is neither one-one nor onto

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

Consider the function f(x) = cos x². Then,

f is of period 2$$\pi$$

f is of period $$\sqrt {2\pi } $$

f is not periodic

f is of period $$\pi$$

WB JEE 2019

MCQ (Single Correct Answer)

-0.5

Let a > b > 0 and I(n) = a^1/n $$-$$ b^1/n, J(n) = (a $$-$$ b)^1/n for all n $$ \ge $$ 2, then

I(n) < J(n)

I(n) > J(n)

I(n) = J(n)

I(n) + J(n) = 0

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