1
WB JEE 2018
MCQ (More than One Correct Answer)
+2
-0
Change Language
A particle is in motion along a curve 12y = x3. The rate of change of its ordinate exceeds that of abscissa in
A
$$-$$ 2 < x < 2
B
x = $$ \pm $$ 2
C
x < $$-$$2
D
x > 2
2
WB JEE 2018
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let $$f(x) = \cos \left( {{\pi \over x}} \right),x \ne 0$$, then assuming k as an integer,
A
f(x) increases in the interval $$\left( {{1 \over {2k + 1}},{1 \over {2k}}} \right)$$
B
f(x) decreases in the interval $$\left( {{1 \over {2k + 1}},{1 \over {2k}}} \right)$$
C
f(x) decreases in the interval $$\left( {{1 \over {2k + 2}},{1 \over {2k + 1}}} \right)$$
D
f(x) increases in the interval $$\left( {{1 \over {2k + 2}},{1 \over {2k + 1}}} \right)$$
3
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
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
4
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
Change Language
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 $${{{u^2}} \over f}$$
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