1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The domain of $$f(x) = \sqrt {\left( {{1 \over {\sqrt x }} - \sqrt {x + 1} } \right)} $$ is
A
$$x > - 1$$
B
$$( - 1,\infty )\backslash \{ 0\} $$
C
$$\left( {0,{{\sqrt 5 - 1} \over 2}} \right]$$
D
$$\left[ {{{1 - \sqrt 5 } \over 2},0} \right)$$
2
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
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
A
S = T
B
S $$ \cap $$ T = $$\phi $$
C
S $$ \cap $$ T is a singleton
D
S $$ \cap $$ T is an interval
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let $$f:R \to R$$ be defined by $$f(x) = {x^2} - {{{x^2}} \over {1 + {x^2}}}$$ for all $$x \in R$$. Then,
A
f is one-one but not onto mapping
B
f is onto but not one-one mapping
C
f is both one-one and onto
D
f is neither one-one nor onto
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Consider the function f(x) = cos x2. Then,
A
f is of period 2$$\pi$$
B
f is of period $$\sqrt {2\pi } $$
C
f is not periodic
D
f is of period $$\pi$$
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EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12