1
WB JEE 2020
MCQ (More than One Correct Answer)
+2
-0
Change Language
Tangent is drawn at any point P(x, y) on a curve, which passes through (1, 1). The tangent cuts X-axis and Y-axis at A and B respectively. If AP : BP = 3 : 1, then
A
The differential equation of the curve is $$3x{{dy} \over {dx}} + y = 0$$
B
the differential equation of the curve is $$3x{{dy} \over {dx}} - y = 0$$
C
the curve passes through $$\left( {{1 \over 8},2} \right)$$
D
the normal at (1, 1) is x + 3y = 4
2
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Two particles A and B move from rest along a straight line with constant accelerations f and h, respectively. If A takes m seconds more than B and describes n units more than that of B acquiring the same speed, then
A
$$(f + h){m^2} = fhn$$
B
$$(f - h){m^2} = fhn$$
C
$$(h - f)n = {1 \over 2}fh{m^2}$$
D
$${1 \over 2}(f + h)n = fh{m^2}$$
3
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
4
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 $$\left( {{1 \over {2k + 2}},{1 \over {2k + 1}}} \right)$$
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Graduate Aptitude Test in Engineering
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Class 12