EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2020 (13-Oct Shift 1)>Q 1

EASY

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IMPORTANT

Earn 100

The radius of a circle is increasing at the rate $2 cm / \sec$ . The rate at which its area is increasing, when the radius of the circle is $5$ decimeters, is

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Important Questions on Application of Derivatives

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2020 (12-Oct Shift-1)>Q 2

The displacement of a particle at the time

t

is given by

s = \sqrt{1 + t},

then its acceleration

a

is proportional to

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2019>Q 3

A particle moves so that

x = 2 + 27 t - t^{3}

. Find the distance(from origin) after which the direction of motion reverses-

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2017>Q 4

If the volume of spherical ball is increasing at the rate of

4 π

{cm}^{3} / \sec

then the rate of change of its surface area when the volume is

288 π {cm}^{3}

is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2019>Q 5

Using differentiation, approximate value of

f (x) = x^{2} - 2 x + 1

at

x = 2.99

is ….

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2020 (13-Oct Shift 1)>Q 6

A tangent to the curve

x = a t^{2}, y = 2 a t

is perpendicular to

x

-axis, then the point of contact is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2020 (13-Oct Shift 1)>Q 7

The equation of a normal to the curve

x = 4 \sec θ

and

y = 4 \tan^{2} θ

at

θ = \frac{π}{4}

is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2018>Q 8

If the line

y = 4 x - 5

touches to the curve

y^{2} = a x^{3} + b

at the point

(2, 3)

then

7 a + 2 b =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 17 - Application of Derivatives>MHT-CET 2017>Q 9

The point on the curve

y = \sqrt{x - 1}

where the tangent is perpendicular to the line

2 x + y - 5 = 0

is