Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
If the line ax + by + c = 0, ab $$ \ne $$ 0, is a tangent to the curve xy = 1 $$-$$ 2x, then
A
a > 0, b < 0
B
a > 0, b > 0
C
a < 0, b > 0
D
a < 0, b < 0
2
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Two particles move in the same straight line starting at the same moment from the same point in the same direction. The first moves with constant velocity u and the second starts from rest with constant acceleration f. Then,
A
they will be at the greatest distance at the end of time $${u \over {2f}}$$ from the start
B
they will be at the greatest distance at the end of time $${u \over f}$$ from the start
C
their greatest distance is $${{{u^2}} \over {2f}}$$
D
their greatest distance is $${{{u^2}} \over f}$$
3
WB JEE 2016
MCQ (More than One Correct Answer)
+2
-0
If f(x) is a function such that f'(x) = (x $$-$$ 1)2(4 $$-$$ x), then
A
f(0) = 0
B
f(x) is increasing in (0, 3)
C
x = 4 is a critical point of f(x)
D
f(x) is decreasing in (3, 5)
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