Home
Class 12
MATHS
Find the area of the circle 4x^2+4y^2=9 ...

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:
`=(sqrt(2))/(6)+(9)/(4) sin^(-1)((2sqrt(2))/(3))` sq. unit.
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos
  • APPLICATIONS OF INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos
  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|13 Videos
  • CO-ORDINATE GEOMETRY

    SUBHASH PUBLICATION|Exercise EXERCISE 9.3|1 Videos

Similar Questions

Explore conceptually related problems

The area of the circle x^(2)+y^(2) =16 exterior to the parabola y^(2) = 6x is

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

Find the area of the region y^2=4x" and "4x^2+4y^2=9 .

The area of the circle x^(2)+y^(2)-2 x+4 y-4=0 is

Find the foci of the hyperbola 9x^2-4y^2=36 .

Using integration, find the area bounded by the circle x^2+y^2=16 and the parabola y^2=6x

The vertex of the parabola y^(2)=x+4y+3 is

If is the acute angle of intersection at a real point of intersection of the circle x^(2) + y^(2) = 5 and the parabola y^(2)= 4x then tan is equal to...

Find the area of the circle x^(2) + y^(2) = 4 bounded by the lines x = 0 and x = 2 which is lying in the first quadrant.

SUBHASH PUBLICATION-APPLICATIONS OF INTEGRALS-FIVE MARKS QUESTIONS WITH ANSWERS
  1. Find the area of the region bounded by the ellipse (x^2)/(16)+(y^2)/(9...

    Text Solution

    |

  2. Find the area of the region bounded by the ellipse (x^2)/(4)+(y^2)/(9)...

    Text Solution

    |

  3. Find the area of the region in the first quadrant enclosed by X-axis a...

    Text Solution

    |

  4. Find the area of the smaller part of the circle x^2+y^2=a^2 cut-off by...

    Text Solution

    |

  5. The are between x=y^2 and x=4 is divided into two equal parts by the l...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Find the area bounded by the curve (x-1)^2+y^2=1" and "x^2+y^2=1.

    Text Solution

    |

  9. Find the area of the region bounded by the curves y=x^2+2,y=x,x=0" and...

    Text Solution

    |

  10. Using integration, find the area of region bounded by the triangle who...

    Text Solution

    |

  11. Using integration find the area of the triangular region whose sides h...

    Text Solution

    |

  12. Using the method of integration, find the smaller area enclosed by the...

    Text Solution

    |

  13. Find the area of the region enclosed by the parabola x^2=y," the line ...

    Text Solution

    |

  14. Using method of integration find the area bounded by the curve |x|+|y|...

    Text Solution

    |

  15. Find the area of the region bounded by the parabola y=x^2" and "y= |x|...

    Text Solution

    |

  16. Using the method of integration find the area of the triangle ABC, coo...

    Text Solution

    |

  17. Find the area of the region y^2=4x" and "4x^2+4y^2=9.

    Text Solution

    |