1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Domain of $$y = \sqrt {{{\log }_{10}}{{3x - {x^2}} \over 2}} $$ is

A
x < 1
B
2 < x
C
1 $$\le$$ x $$\le$$ 2
D
2 < x < 3
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let $$f(x) = {(x - 2)^{17}}{(x + 5)^{24}}$$. Then

A
f does not have a critical point at x = 2
B
f has a minimum at x = 2
C
f has neither a maximum nor a minimum at x = 2
D
f has a minimum at x = 2
3
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let $$f(n) = {2^{n + 1}}$$, $$g(n) = 1 + (n + 1){2^n}$$ for all $$n \in N$$. Then

A
$$f(n) > g(n)$$
B
$$f(n) < g(n)$$
C
f(n) and g(n) are not comparable.
D
$$f(n) > g(n)$$ if n be even and $$f(n) < g(n)$$ if n be odd.
4
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

The maximum value of $$f(x) = {e^{\sin x}} + {e^{\cos x}};x \in R$$ is

A
2e
B
$$2\sqrt e $$
C
$$2{e^{{1 \over {\sqrt 2 }}}}$$
D
$$2{e^{ - {1 \over {\sqrt 2 }}}}$$
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