Home
Class 12
MATHS
If P is a point such that the ratio of t...

If `P` is a point such that the ratio of the squares of the ltngths of the tangtnts from `P` to the circleS `x^(2)+y^(2)+2 x-4 y-20=0` and `x^(2)+y^(2)-4 x+2 y-44=0` is `2: 3,` then the locus of `P` is a circle with centre

A

(7,-8)

B

(-7,8)

C

(7,8)

D

(-7,-8)

Text Solution

Verified by Experts

The correct Answer is:
B
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 tangtnt from (0,0) to the circle 2x^(2)+2y^(2) +x-y+5=0 is

The ltngth of the tangtnt to the circle x^(2)+y^(2)-2 x-y-7=0 at (-1,-3) is

The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4=0 is

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

The ltngth of the tangtnt from (5,3) to the circle x^(2)+y^(2)+10 x+k y-17=0 is 7, then k=

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

The ltngth of the tangtnt drawn to the circle x^(2)+y^(2)-2 x+4 y-11=0 from the point (1,3) is

The equation of the tangtnt to the circle x^(2)+y^(2)-2 x+8 y-23=0 having slope 3 is

The length of the common chord of the circle x^(2)+y^(2)+2 x+3 y+1=0 and x^(2)+y^(2)+4 x+3 y+2=0 is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The equation of the circle of radius 5 and touching the coordinate ax...

    Text Solution

    |

  2. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

    Text Solution

    |

  3. If P is a point such that the ratio of the squares of the ltngths of t...

    Text Solution

    |

  4. If the circle x^(2)+y^(2)+6 x-2 y+k=0 bisects the circumference of th...

    Text Solution

    |

  5. A line l meet the circle x^(2)+y^(2)=61 in A and B and P(-5,6) is suc...

    Text Solution

    |

  6. If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A an...

    Text Solution

    |

  7. If P(1), P(2) and P(3) are the perimeters of the three circleS and ...

    Text Solution

    |

  8. The number of circleS that touch all the three lines x+y-1=0, x-y-1=0...

    Text Solution

    |

  9. Which of the following equations gives a circle

    Text Solution

    |

  10. The equation of the circle described on the common chord of the circ...

    Text Solution

    |

  11. If y=3 x is a tangent to a circle with centre (1,1) then the other ta...

    Text Solution

    |

  12. If x-y+1=0 meets the circle. x^(2)+y^(2)+y-1=0 at A and B, then t...

    Text Solution

    |

  13. The ltngth of the tangtnt drawn to the circle x^(2)+y^(2)-2 x+4 y-11=...

    Text Solution

    |

  14. Observe the following statements I. The circle x^(2)+y^(2)-6 x-4 y-7=...

    Text Solution

    |

  15. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  16. The equation of the circle having its centre on the line x +2y - 3 = 0...

    Text Solution

    |

  17. The circleS x^(2)+y^(2)+2 a x+c^2=0 and x^(2)+y^(2)+2 b y+c^2=0 touch...

    Text Solution

    |

  18. To which of the following circleS, the line y-x+3=0 is a normal at (3...

    Text Solution

    |

  19. The equation of the circle which touches both the axes and the line 4...

    Text Solution

    |

  20. circle is drawn through the point (2,0) to cut intercept of length 5 u...

    Text Solution

    |