Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 29

MEDIUM

KCET (UG)

IMPORTANT

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Area bounded by the curves $y = \sin x$ , tangent drawn to it at $x = 0$ and the line $x = \frac{π}{2}$ is equal to

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Important Questions on Area under Curves

EASY

KCET (UG)

IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 30

The area bounded by the curve

x = 2 - y - y^{2}

and the

Y

-axis is

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 31

Find the area bounded by the curve

y = \log x; y -

axis

, y = 0

and the line

y = 2

EASY

KCET (UG)

IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 32

If the area bounded by the curve

y = f (x), x

-axis and the lines

x = 1, x = b

is equal to

\sqrt{b^{2} + 1} - \sqrt{2}

for all

b > 1,

then the value of

f (x)

is

HARD

KCET (UG)

IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 33

The smaller of the areas bounded by the curves

x^{2} + y^{2} = 4

and

y^{2} = 2 (x + 2)

is

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KCET (UG)

IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 34

The value of the parameter

' a'

such that the area bounded by

y = a^{2} x^{2} + a x + 1,

coordinate axes and the line

x = 1

attains its least value, is equal to

HARD

KCET (UG)

IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 35

Area lying in the first quadrant and bounded by the circle

x^{2} + y^{2} = 4,

the line

x = \sqrt{3} y

and

x -

axis is

HARD

KCET (UG)

IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 36

Area bounded by the parabola

x = {(y - 2)}^{2} + 1,

the tangent to it at the point

P (2, 3)

and the

x -

axis is equal to

HARD

KCET (UG)

IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 30 - Area under Curves>Exercise 1>Q 37

If the area of the region bounded by the curve

C : y = \tan x,

the tangent drawn to

C

at

x = \frac{π}{4}

and the x-axis is

\frac{k}{10} (\log 2 - \frac{1}{2}),

then the value of

k

is