Home
Class 12
MATHS
Using integration, find the area of the ...

Using integration, find the area of the region common to the circle `x^2+y^2=16` and the parabola `y^2=6x`.

A

`2/3 ( sqrt3 + 4 pi ) sq. units`

B

`4/3 ( sqrt 3 + 4 pi)sq. units`

C

`2/3 ( sqrt 3 + 8pi) sq. units`

D

`4/3 ( sqrt3 + 8 pi ) sq. units`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

Similar Questions

Explore conceptually related problems

Area common to the circle x^(2)+y^(2)=64 and the parabola y^(2)=4x is

The number of points with integral coordinates that lie in the interior of the region common to the circle x^(2)+y^(2)=16 and the parabola y^(2)=4x , is

Find the area common to the circle x^(2)+y^(2)=16a^(2) and the parabola y^(2)=6ax,a>0

Using integration, find the area of the region bounded between : (i) the line x =2 and the parabola y ^(2) = 8x (ii) the line x=3 and the parabola y ^(2) =4x.

Using integration, find the area of the region bounded by the parabola y^2=16x and the line x=4

The area common to the circle x^(2)+y^(2)=64 and the parabola y^(2)=12x is equal to

Using integration, find the area of the region bounded by the parabola y^(2)=4x and the line x=4 .

NIKITA PUBLICATION-APPLICATION OF DEFINITE INTEGRAL-MULTIPLE CHOICE QUESTIONS:(MCQ)
  1. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

    Text Solution

    |

  2. The area of the plane region bounded by the curves x + 2y^(2)=0 and x+...

    Text Solution

    |

  3. Find the area enclosed between first quadrant of a circle x^2 + y^2 = ...

    Text Solution

    |

  4. Find the area enclosed between the circle x ^ 2 + y ^ 2 = 1...

    Text Solution

    |

  5. Using integration, find the area of the region common to the circle x^...

    Text Solution

    |

  6. The area lying above the X-axis and included between the circle x^(2) ...

    Text Solution

    |

  7. The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...

    Text Solution

    |

  8. The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and ...

    Text Solution

    |

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

    Text Solution

    |

  10. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

    Text Solution

    |

  11. Find the area of the circle x^2+y^2=16 which is exterior to the parabo...

    Text Solution

    |

  12. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

    Text Solution

    |

  13. The area bounded by the curves x^(2) + y^(2) = 25, 4y = | 4 - x^(2) | ...

    Text Solution

    |

  14. The area of the region bounded by the lines y=2x+1y=3x+1 and x=4 is

    Text Solution

    |

  15. The area of Delta ABC whose vertices are A (2,5), B (4,7) and C(6,2) i...

    Text Solution

    |

  16. The area of Delta ABC with vertices A (2,1), B(3,4) and C (0.5) is

    Text Solution

    |

  17. Using integration, find the area of the triangle ABC whose vertices ar...

    Text Solution

    |

  18. The area of the region enclosed by the curves y = sin x and y = cos x ...

    Text Solution

    |

  19. The area of the region bounded by the curves y = exlog x and y = logx...

    Text Solution

    |

  20. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

    Text Solution

    |