1
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
2
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.
3
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0
Change Language

If z$$_1$$ and z$$_2$$ are two complex numbers satisfying the equation $$\left| {{{{z_1} + {z_2}} \over {{z_1} - {z_2}}}} \right| = 1$$, then $${{{z_1}} \over {{z_2}}}$$ may be

A
real positive
B
real negative
C
zero
D
purely imaginary
4
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0
Change Language

A letter lock consists of three rings with 15 different letters. If N denotes the number of ways in which it is possible to make unsuccessful attempts to open the lock, then

A
482 divides N
B
N is the product of two distinct prime numbers.
C
N is the product of three distinct prime numbers.
D
16 divides N.
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