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 lengths of the tangents from P to the circles `x^(2)+y^(2)+2x-2y-20=0` and `x^(2)+y^(2)-4x+2y-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

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

The square of the length of tangent from (2,- 3) on the circle x^(2)+y^(2)-2x-4y-4=0 is :

Length of tangent from (8,6) to the circle x^(2)+y^(2)-3x-4y+2=0

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

If the lengths of the tangents drawn from P to the circles x ^(2) + y ^(2) -2x + 4y -20=0 and x ^(2) + y^(2) -2x -8y +1=0 are in the ratio 2:1 , then the locus of p is

The square of the length of tangent from (3, –4) on the circle x^(2) + y^(2) – 4x – 6y + 3 = 0

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

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

    Text Solution

    |

  2. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  3. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  4. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  5. If the chord of contact of tangents from a point (x1, y1) to the circl...

    Text Solution

    |

  6. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

    Text Solution

    |

  7. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  8. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

    Text Solution

    |

  9. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

    Text Solution

    |

  10. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

    Text Solution

    |

  11. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

    Text Solution

    |

  12. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

    Text Solution

    |

  13. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |

  14. If C(1),C(2),C(3),... is a sequence of circles such that C(n+1) is the...

    Text Solution

    |

  15. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |

  16. The radical centre of three circles described on the three sides x+y=5...

    Text Solution

    |

  17. If theta is the angle between the two radii (one to each circle) drawn...

    Text Solution

    |

  18. The number of rational point(s) [a point (a, b) is called rational, if...

    Text Solution

    |

  19. The point ( [P + 1] , [P] ) (where [.] denotes the greatest integer fu...

    Text Solution

    |

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

    Text Solution

    |