WB JEE 2018 | Application of Derivatives Question 37 | Mathematics

WB JEE 2018

MCQ (More than One Correct Answer)

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A particle is in motion along a curve 12y = x³. The rate of change of its ordinate exceeds that of abscissa in

$$-$$ 2 < x < 2

x = $$ \pm $$ 2

x < $$-$$2

x > 2

WB JEE 2018

MCQ (More than One Correct Answer)

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Let $$f(x) = \cos \left( {{\pi \over x}} \right),x \ne 0$$, then assuming k as an integer,

f(x) increases in the interval $$\left( {{1 \over {2k + 1}},{1 \over {2k}}} \right)$$

f(x) decreases in the interval $$\left( {{1 \over {2k + 1}},{1 \over {2k}}} \right)$$

f(x) decreases in the interval $$\left( {{1 \over {2k + 2}},{1 \over {2k + 1}}} \right)$$

f(x) increases in the interval $$\left( {{1 \over {2k + 2}},{1 \over {2k + 1}}} \right)$$

WB JEE 2017

MCQ (More than One Correct Answer)

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If the line ax + by + c = 0, ab $$ \ne $$ 0, is a tangent to the curve xy = 1 $$-$$ 2x, then

a > 0, b < 0

a > 0, b > 0

a < 0, b > 0

a < 0, b < 0

WB JEE 2017

MCQ (More than One Correct Answer)

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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,

they will be at the greatest distance at the end of time $${u \over {2f}}$$ from the start

they will be at the greatest distance at the end of time $${u \over f}$$ from the start

their greatest distance is $${{{u^2}} \over {2f}}$$

their greatest distance is $${{{u^2}} \over f}$$

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