WB JEE 2019 | Application of Derivatives Question 33 | Mathematics

WB JEE 2019

MCQ (More than One Correct Answer)

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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

$$(f + h){m^2} = fhn$$

$$(f - h){m^2} = fhn$$

$$(h - f)n = {1 \over 2}fh{m^2}$$

$${1 \over 2}(f + h)n = fh{m^2}$$

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

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