Home
Class 12
MATHS
Find the area of the circle 4x^(2) + 4y^...

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

Text Solution

Verified by Experts

The correct Answer is:
`sqrt2/6+9/4 sin^(-1) ""(2sqrt2)/(3)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos
  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Exercise 8.1|13 Videos
  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.6|24 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|23 Videos

Similar Questions

Explore conceptually related problems

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

Find the area lying above x-axis and included between the circle x^(2) + y^(2) = 8x and inside in the parabola y^(2) = 4x.

Find the area of the region cut off by the straight line 3x-2y+12=0 from the parabola 3x^(2)=4y .

Find the radius of the largest circle, which passes through the focus of the parabola y^2=4(x+y) and is also contained in it.

Find the equation of the diameter of the circle x^(2) + y^(2) - 4x + 6y + 9 = 0 which passes through the point (1, -2).

The largest value of a for which the circle x^2+y^2=a^2 falls totally in the interior of the parabola y^2=4(x+4) is 4sqrt(3) (b) 4 (c) 4(sqrt(6))/7 (d) 2sqrt(3)

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

Find the area of the region { (x,y):x^(2) +y^(2) lt 1lt x +y} (ii) Find the area of the region { ( x,y): x^(2)+ y^(2) lt 2ax ,y^(2) gt ax ,x gt 0, ygt 0} (iii) Using integration find the area of the region { x,y): y^(2) lt 4x ,4x^(2) +4y^(2) lt 9}.

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

Find the area of the region {(x, y) : y^(2) le 4x, 4x^(2) + 4y^(2) le 9}