Home
Class 12
MATHS
The circle x^(2)+y^(2) =4a^(2) is divide...

The circle `x^(2)+y^(2) =4a^(2)` is divided into two parts by the line `x =(3a)/(2).` Find the ratio of areas of these two parts.

Text Solution

Verified by Experts

The correct Answer is:
`(8pi+3sqrt(7)+16"sin"^(-1)(3)/(4)):(8pi-3sqrt(7)-16"sin"^(-1)(3)/(4))`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 B Multiple Choice Questions|10 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8 C Questions For Competitive Examinations|10 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|24 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2) + y^(2)=8 is divided into two parts by the parabola 2y=x^(2) . Find the area of both the parts.

The area enclosed by the circle x^2+(y+2)^2=16 is divided into two parts by the x-axis. Find by integration, the area of the smaller part.

The area between x=y^2 and x = 4 is divided into two equal parts by the line x = a , find the value of a.

Divide 108 in two parts in the ratio 4: 5.

Area bounded by curve y^(2)=x and x=4 is divided into 4 equal parts by the lines x=a and y=b then a& b is

The circumference of two circles are in the ratio 2\ :3 . Find the ratio of their areas.

The circumferences of two circles are in the ratio 2: 3. Find the ratio of their areas.

The circumference of two circles are in the ratio 2\ :3 . Find the ratio of their areas.

If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on the circle x^(2)+y^(2)=a^(4) then find the equation of the circle touched by the line.

A line segment of length 84 cm has been divide into two parts in the ratio 4 : 3 . Find the length of each part

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF INTEGRALS-Exercise 8a
  1. Area of the regionbounded by the curve y = "cos" x between x = 0 and x...

    Text Solution

    |

  2. Find the area of that region of the parabola y^(2)=4ax which lies betw...

    Text Solution

    |

  3. Find the area of the region bounded by the curve y=x^2 and the line...

    Text Solution

    |

  4. Find the area bounded by the curve y^2=4ax and the lines y=2a and y-ax...

    Text Solution

    |

  5. Find the area of the parabola y^2=4a xbounded by its latus rectum.

    Text Solution

    |

  6. Using integration, find the area of the region bounded by the parabola...

    Text Solution

    |

  7. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

    Text Solution

    |

  8. The area between x=y^2and x = 4is divided into two equal parts by the ...

    Text Solution

    |

  9. Find the area of the region bounded by: the parabola y=x^2 and the li...

    Text Solution

    |

  10. FInd the area bounded by the curves y^2=9xandx^2=9y.

    Text Solution

    |

  11. Using the method of integration find the area of the triangle ABC, ...

    Text Solution

    |

  12. Using integration, find the area of the triangle whose vertices are (1...

    Text Solution

    |

  13. Using integration find the area of the triangular region whose side...

    Text Solution

    |

  14. Find the area of region : {(x,y) : 0 le y le x^(2) + 1, 0 le y le x + ...

    Text Solution

    |

  15. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

    Text Solution

    |

  16. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

    Text Solution

    |

  17. Find the smaller area enclosed between linex, if y={x, if x >= 0 and ...

    Text Solution

    |

  18. Find the equation of common tangent of y^(2)=4axandx^(2)=4by.

    Text Solution

    |

  19. Using definite integration, find the area of the smaller region bounde...

    Text Solution

    |

  20. The circle x^(2)+y^(2) =4a^(2) is divided into two parts by the line x...

    Text Solution

    |