MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

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If the rate of change of volume of a sphere is equal to the rate of change of its radius, then its radius is equal to

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Important Questions on Derivative as a Rate Measurer

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16

If the rate of change of area of a circle is equal to the rate of change of its diameter, then its radius is equal to

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MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17

Each side of an equilateral triangle is increasing at the rate of

8 cm / hr

. The rate of increase of its area when side is

2 cm

, is

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MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18

If

s = t^{3} - 4 t^{2} + 5

describes the motion of a particle, then its velocity when the acceleration vanishes, is

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MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19

The equation of motion of a particle is

s = 2 t^{2} + \sin 2 t

, where $s$ is in metres and $t$ is in seconds. The velocity of the particle when its acceleration is

2 m / \sec^{2}

, is

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MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

The radius of a circular plate is increasing at the rate of

0.01 cm / \sec

. The rate of increase of its area when the radius is

12 cm

, is

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MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 21

The diameter of a circle is increasing at the rate of

1 cm / \sec

. When its radius is

π

, the rate of increase of its area is

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MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 22

A man

2

metres tall walks away from a lamp post

5

metres height at the rate of

4.8 km / hr

. The rate of increase of the length of his shadow is

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MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23

A man of height

6 ft

walks at a uniform speed of

9 ft / \sec

from a lamp fixed at

15 ft

height. The length of his shadow is increasing at the rate of