1
WB JEE 2021
+1
-0.25
A bulb is placed at the centre of a circular track of radius 10 m. A vertical wall is erected touching the track at a point P. A man is running along the track with a speed of 10 m/sec. Starting from P the speed with which his shadow is running along the wall when he is at an angular distance of 60$$^\circ$$ from P is
A
30 m/sec
B
40 m/sec
C
60 m/sec
D
80 m/sec
2
WB JEE 2020
+1
-0.25
If the function $$f(x) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1$$ [a > 0] attains its maximum and minimum at p and q respectively such that p2 = q, then a is equal to
A
2
B
$${1 \over 2}$$
C
$${1 \over 4}$$
D
3
3
WB JEE 2019
+1
-0.25
Let f(x) > 0 for all x and f'(x) exists for all x. If f is the inverse function of h and $${h'(x) = {1 \over {1 + \log x}}}$$. Then, f'(x) will be
A
1 + log(f(x))
B
1 + f(x)
C
1 $$-$$ log(f(x))
D
log f(x)
4
WB JEE 2019
+1
-0.25
Let f(x) be a derivable function, f'(x) > f(x) and f(0) = 0. Then,
A
f(x) > 0 for all x > 0
B
f(x) < 0 for all x > 0
C
no sign of f(x) can be ascertained
D
f(x) is a constant function
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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