1
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The equation $$2^x+5^x=3^x+4^x$$ has

A
no real solution
B
only one non-zero real solution
C
infinitely many solutions
D
only three non-negative real solutions
2
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

In the interval $$( - 2\pi ,0)$$, the function $$f(x) = \sin \left( {{1 \over {{x^3}}}} \right)$$.

A
never changes sign.
B
changes sign only once.
C
changes sign more than once but finitely many times.
D
changes sign infinitely many times.
3
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
4
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
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