Home
Class 12
MATHS
If p is the point of contact of the cir...

If p is the point of contact of the circles
`x^2 + y^2 + 4x + 4y - 10 = 0 ` and
`x^2 + y^2 - 6x - 6y + 10` = 0 ` and Q is their external centre of similitude, then the equation of the circle with P and Q as the extremities of its diameter is

A

`x^2 + y^2 + 14x + 14y - 26 = 0`

B

`x^2 + y^2 + 5x + 5y - 8 = 0`

C

`x^2 + y^2 - 5x - 5y + 8 = 0`

D

`x^2 + y^2 - 14x - 14y + 26 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2019 (3 MAY SHIFT 2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2019 (6 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2019 (4 MAY SHIFT 2)-MATHEMATICS
  1. If x = (2at)/(1 + t^2) , y = (a(1-t^2) )/(1 + t^2) , where t is a par...

    Text Solution

    |

  2. Consider the following statement : I. P(x1, y1) and Q (x2, y2) ar...

    Text Solution

    |

  3. If p is the point of contact of the circles x^2 + y^2 + 4x + 4y - ...

    Text Solution

    |

  4. let k gt 0 , salpha -= x^2 + y^2 + 2alpha x + k = 0 " and " sbeta -=...

    Text Solution

    |

  5. The equation of the circle touching the line 2x + 3y + 1 = 0 at the po...

    Text Solution

    |

  6. The angle between the tangents drawn from the point (1,4) to the parab...

    Text Solution

    |

  7. If the line y = - x + k is normal to the curve y^2 = 16x , then k is

    Text Solution

    |

  8. The normal drawn at the point ( sqrt(9) cos (pi/4) , sqrt(7) sin (p...

    Text Solution

    |

  9. If (1, - 2) is the focus and x + y - 2 = 0 is the directrix of the el...

    Text Solution

    |

  10. The line 2x + y =1 is a tangent to the hyperbola (x^2)/(a^2) - (y^2)/(...

    Text Solution

    |

  11. If the orthocentre and the centroid of a triangle are at (5, 2, -6) an...

    Text Solution

    |

  12. If the direction ratios of two lines are given by a + 2b + c = 0 and 1...

    Text Solution

    |

  13. A plane cuts the coordinate axes X,Y,Z at A,B,C respectively such that...

    Text Solution

    |

  14. lim(xtooo) x (log ( 1+ x/2) - "log"x/2) =

    Text Solution

    |

  15. The set of values of x for which the function f(x) = log ( (x - 1)/(x...

    Text Solution

    |

  16. If the function f : R to R, defined by f(x) = {{:(5-3x " , if" x ...

    Text Solution

    |

  17. If t is a parameter and x = t + 1/t , y = t - 1/t , " then " (d^2 y...

    Text Solution

    |

  18. If ax^2 + 2hxy - by^2 = 3 then (d^2y)/(dx^2) =

    Text Solution

    |

  19. If the error in measuring the side l of an equilateral triangle is 0....

    Text Solution

    |

  20. If at any point (x1, y1) on the curve y=f(x) the lengths of the subtan...

    Text Solution

    |