Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 11 - Area Bounded by Curves>Target Exercises>Q 37

EASY

JEE Advanced

IMPORTANT

Earn 100

The area of the triangle formed by the lines $y = 2 x, x = 0$ and $y = 2$ , is

33.33% studentsanswered this correctly

Important Questions on Area Bounded by Curves

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 11 - Area Bounded by Curves>Target Exercises>Q 38

The area of the smaller portion of the circle

x^{2} + y^{2} = a^{2}, a > 0

cut-off by the line

x = \frac{a}{2}

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 11 - Area Bounded by Curves>Target Exercises>Q 39

If the curve

y = x^{2} - 7 x + 10

intersect

X

-axis at the points

A

and

B

, then the area bounded by the curve and the line

A B

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 11 - Area Bounded by Curves>Target Exercises>Q 40

If

f (x) = a + b x + c x^{2}

, where

c > 0

and

b^{2} - 4 a c < 0,

then the area enclosed by the coordinate axes, the line

x = 2

and the curve

y = f (x)

, is given by

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 11 - Area Bounded by Curves>Target Exercises>Q 41

The area bounded by the curve

\sqrt{|x|} + \sqrt{|y|} = \sqrt{a}

and

x^{2} + y^{2} = a^{2}, a > 0

, is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 11 - Area Bounded by Curves>Target Exercises>Q 42

A curve

y = f (x)

passes through the point

P (1, 1)

, the normal to the curve at

P

is

a (y - 1) + (x - 1) = 0

. If the slope of the tangent at any point on the curve

y = e^{a (x - 1)}

is proportional to the ordinate of that point, then the area bounded by

Y

-axis, the curve and the normal to the curve at

P

, is