Find the area of the circle 4x^2 + 4y^2 ...

Find the area of the circle `4x^2 + 4y^2 = 9` which is interior to the parabola `x^2 = 4y`.

A

`4sqrt3`

B

4

C

`(4sqrt6)/7`

D

`2sqrt3`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

PARABOLA
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos
PARABOLA
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|23 Videos
PARABOLA
ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos
PAIR OF STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
PERMUTATIONS AND COMBINATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Find the area of the circle 4x^2+4y^2=9 which is interior to the parabola y^2= 4x .

(a) (i)Find the area of the circle x^2+y^2=16 , which is exterior to the parabola y^2=6x .

Find the area of that part of the circle x^2 + y^2 = 16 which is exterior to the parabola y^2 = 6x.

The area of the circle x^2+y^2 = 8x , lying above x-axis and interior to the parabola y^2= 4x is

Find the focus of the parabola x^2=4y

(b) Find the area of the region bounded by the circle x^2+y^2=16 and the parabola x^2=6y .

Find the area of the semi-portion of the circle x^2+y^2=4

Find the area bounded by the curve x^2 = 4y and the line x=4y-2 .

Find the equation of the circle through points of intersection of the circle x^2 + y^2 -2x - 4y + 4 =0 and the line x + 2y = 4 which touches the line x + 2y = 0 .

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)

Evaluate int 22x^2 dx.
Text Solution
|
The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...
Text Solution
|
Evaluate int 23x^2 dx.
Text Solution
|
Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...
Text Solution
|
From a point (sintheta,costheta), if three normals can be drawn to the...
Text Solution
|
If two different tangents to y^2=4x are the normals to x^2=4 by, then
Text Solution
|
The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...
Text Solution
|
Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...
Text Solution
|
A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...
Text Solution
|
Find the length of the side of an equilateral traingle inscribed in th...
Text Solution
|
Let C be a circle with center (0,1) and radius unity. P is the parabol...
Text Solution
|
Evaluate int 24x^2 dx.
Text Solution
|
If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...
Text Solution
|
Evaluate int 25x^2 dx.
Text Solution
|
Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...
Text Solution
|
Evaluate int 26x^2 dx.
Text Solution
|
If the fourth term in the expansion of (a x+1/x)^n is 5/2, then find ...
Text Solution
|
The set of points on the axis of the parabola y^2-4x-2y+5=0 find the s...
Text Solution
|
The tangent to the parabola y=x^2 has been drawn so that the abscissa ...
Text Solution
|
if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...
Text Solution
|