1
WB JEE 2025
MCQ (More than One Correct Answer)
+2
-0
Change Language

Let $f(x)=x^3, x \in[-1,1]$. Then which of the following are correct?

A
' $f$ ' has a minimum at $x=0$.
B
' $f$ ' has the maximum at $x=1$.
C
' $f$ ' is continuous on $[-1,1]$.
D
' $f$ ' is bounded on $[-1,1]$.
2
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
Change Language

The acceleration f $$\mathrm{ft} / \mathrm{sec}^2$$ of a particle after a time $$\mathrm{t}$$ sec starting from rest is given by $$\mathrm{f}=6-\sqrt{1.2 \mathrm{t}}$$. Then the maximum velocity $$\mathrm{v}$$ and time $$\mathrm{T}$$ to attend this velocity are

A
$$\mathrm{T}=20 \mathrm{~sec}$$
B
$$\mathrm{v}=60 \mathrm{~ft} / \mathrm{sec}$$
C
$$\mathrm{T}=30 \mathrm{~sec}$$
D
$$\mathrm{v}=40 \mathrm{~tt} / \mathrm{sec}$$
3
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0
Change Language

A balloon starting from rest is ascending from ground with uniform acceleration of 4 ft/sec$$^2$$. At the end of 5 sec, a stone is dropped from it. If T be the time to reach the stone to the ground and H be the height of the balloon when the stone reaches the ground, then

A
T = 6 sec
B
H = 112.5 ft
C
T = 5/2 sec
D
225 ft
4
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0
Change Language

If $$f(x) = 3\root 3 \of {{x^2}} - {x^2}$$, then

A
f has no extrema.
B
f is maximum at two points x = 1 and x = $$-$$1.
C
f is minimum at x = 0.
D
f has maximum at x = 1 only.
WB JEE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12