Home
Class 12
MATHS
If the length of the tangent from any po...

If the length of the tangent from any point on the circle `(x-3)^(2)+(y+2)^(2)=5r^(2)` to the circle `(x-3)^(2)+(y+2)^(2)=r^(2)` is 4 units, then the area between the two circles in sq. units is

A

`4 pi`

B

`32 pi`

C

`256 pi`

D

`8 pi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The length of the tangent from (0, 0) to the circle 2(x^(2)+y^(2))+x-y+5=0 , is

The length of the tangtnt from (0,0) to the circle 2x^(2)+2y^(2) +x-y+5=0 is

The length of the tangent drawn from any point on the circle : x^2+y^2 -4x+2y-4=0 to the circle x^2+y^2-4x+6y=0 is :

The length of the tangent from the point (1,-4) to the circle 2x^2+2y^2-3x+7y+9=0

The length of the tangent from (5, 1) to the circle x^2+y^2+6x-4y-3=0 is :

Angle between tangents drawn from a point on the director circle x^(2)+y^(2)=100 to the circle x^(2)+y^(2)=50 is

From any point on the circle x^(2)+y^(2)=a^(2) , tangtnts are drawn to the circle x^(2)+y^(2)=a^(2) sin ^(2) alpha The anglt between them is

The length of the tangent from the point (1, -4) to the circle 2x^(2) + 2y^(2) - 3x + 7y + 9 = 0 is

Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy +c=0 to the circle : x^2+y^2+2gx+2fy+c'=0 is :

Find the length of the tangents drawn from the point (3,-4) to the circle 2x^(2)+2y^(2)-7x-9y-13=0 .

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The radius of the circle x^(2) + y^(2) + 4x + 6y +13 = 0 is...

    Text Solution

    |

  2. The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 1...

    Text Solution

    |

  3. If the length of the tangent from any point on the circle (x-3)^(2)+(y...

    Text Solution

    |

  4. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0 and bx^(2)+by^(2)+2g(2)...

    Text Solution

    |

  5. The equation of the common tangent of the two touching circles, y^(2)+...

    Text Solution

    |

  6. If the line 2 x+3 y+k=0 is a tangtnt to the circle x^(2)+y^(2)-6 x-8 ...

    Text Solution

    |

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

    Text Solution

    |

  8. x^(2) + y^(2) -6x -6y + 4 = 0, x^(2) + y^(2) -2x -4y + 3 = 0, x^(2) + ...

    Text Solution

    |

  9. If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cu...

    Text Solution

    |

  10. If two circleS x^(2)+y^(2)+2 lambda x+c=0 and x^(2)+y^(2)-2 mu y-c=0 ...

    Text Solution

    |

  11. Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y...

    Text Solution

    |

  12. The equation ot the circle concentric with x^(2)+y^(2)+6 x+2 y+1=0 an...

    Text Solution

    |

  13. The centre of a circle passing through the points (0,0),(1,0) and tou...

    Text Solution

    |

  14. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

  15. The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having...

    Text Solution

    |

  16. If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogo...

    Text Solution

    |

  17. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  18. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  19. A variable circle passes through the fixed point A (p, q) and touches ...

    Text Solution

    |

  20. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

    Text Solution

    |