Home
Class 12
MATHS
The area of the circle x^(2)+y^(2) =16 e...

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

A

`4/3 (4pi-sqrt3)`

B

`4/3 (4pi+sqrt3)`

C

`4/3 (8pi-sqrt3)`

D

`4/3 (8pi+sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

Focus of the parabola y^(2)=16 x is at

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

The directrix of the parabola y^(2)=16 x is

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

The vertex of the parabola (y-2)^(2) = 16(x-1) is

If the polar of the circle x^(2)+y^(2)=9 is always touching the parabola y^(2)=8x then the locus of the pole is

The equation of the line which is a tangent to both the circle x^(2)+y^(2)=5 and the parabola y^(2)=40 x is

The equation of the line which is tangent to both the circle x^(2)+y^(2)=50 and the parabola y^(2)=40 x is

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. The area bounded by the curve y= x|x|, x-axis and the ordinates x =-1 ...

    Text Solution

    |

  2. Area bounded by the curve y=x^3 , the x-axis and the ordinates x=-2 an...

    Text Solution

    |

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

    Text Solution

    |

  4. The area of the region bounded by the curve y = x^(2) and the line y =...

    Text Solution

    |

  5. The area of the region bound by Y-axis, y = cos x and y = sin x, 0lexl...

    Text Solution

    |

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

    Text Solution

    |

  7. The area of the region bounded by the curve y=sqrt(16-x^2) and x -axis...

    Text Solution

    |

  8. Find the area of the region in the first quadrant method enclosed by t...

    Text Solution

    |

  9. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |

  10. The area of the region bounded by parabola y^(2) = x and the line 2y =...

    Text Solution

    |

  11. The area of the region bounded by the curve y=sin x between the ordina...

    Text Solution

    |

  12. Area of the region bounded by the curve y=x+1 and the lines x=2 and x ...

    Text Solution

    |

  13. The area of the region bounded by the curve x = 2y+3 and the y-lines ...

    Text Solution

    |

  14. int(0)^(pi//2)(sin^(3//2)x)/(sin^(3//2)x+cos^(3//2)x)dx=

    Text Solution

    |

  15. int(pi//4)^(pi//2)cot x dx=

    Text Solution

    |

  16. int0^(1/2) (dx)/(sqrt(1-x^(2))) =

    Text Solution

    |

  17. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

    Text Solution

    |

  18. int0^(pi//2)(dx)/(1 + tanx)=

    Text Solution

    |

  19. underset(0)overset(a)int sqrt(a^(2) - x^(2)) dx =

    Text Solution

    |

  20. int0^(pi//2) log(tan x) dx is :

    Text Solution

    |