1
WB JEE 2022
+1
-0.25 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
+1
-0.25 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
+1
-0.25 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
+2
-0.5 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
$$2{e^{ - {1 \over {\sqrt 2 }}}}$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination