Home
Class 12
MATHS
Show that A(-3,0) lies on x^(2)+y^(2) + ...

Show that `A(-3,0)` lies on `x^(2)+y^(2) + 8x+ 12 y + 15 = 0` and find the other end of
diameter thorugh A.

Text Solution

Verified by Experts

The correct Answer is:
` (-5,-12) `
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.2|96 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.3|55 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.4 (Level-2) |36 Videos
  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

Similar Questions

Explore conceptually related problems

Show that A(3,-1) lies on the circle x^(2) +_ y^(2) - 2x + 4y = 0 . Also find the other end of the diameter through A.

(i) Find the other end of the diameter of the circle x^(2)+y^(2)-8x-8y+27=0 if one endof it (2,3). (ii) Snow that A(3,-1) lies on the circle x^(2)+y^(2)-2x+4y=0 . Also find the other end of the diameter through A.

P(-9,-1) is a point on the circle x^2+y^(2)+4x+8y-38=0 . The equation to the tangent at the other end of the diameter thorugh P is

If one end of the diameter of the circle x^(2)+y^(2)-6x+4y-12=0" is "(7,-5) then the other end of the diameter is

Show that the circles x^2 + y^2 - 2y -8x+ 8 = 0 and x^2 + y^2 - 2x + 6y + 6 = 0 touch each other and find the point of contact.

Show that the circles x^(2)+y^(2)-8x-2y+8=0 and x^(2)+y^(2)-2x+6y+6=0 touch each other and find the point of contact.

Show that the circles x^(2) +y^(2) -4x-6y-12=0 and 5(x^(2)+y^(2))-8x - 14y - 32 = 0 touch each other and find their point of contact.

If a point P is moving such that the lengths of the tangents drawn form P to the circles x^(2) + y^(2) + 8x + 12y + 15 = 0 and x^(2) + y^(2) - 4 x - 6y - 12 = 0 are equal then find the equation of the locus of P

Show that the circles x^(2) + y^(2) -6x -2y + 1=0 , x ^(2) + y^(2) + 2x -8y + 13 =0 touch each other find the point of contact and the equation of the common tangent at their point of contact.

AAKASH SERIES-CIRCLE-EXERCISE -1.1
  1. Find the other end of the diameter of the circle x^(2) +y^(2) -8x + 27...

    Text Solution

    |

  2. Show that A(3,-1) lies on the circle x^(2) + y^(2) - 2x + 4y = 0. Al...

    Text Solution

    |

  3. Show that A(-3,0) lies on x^(2)+y^(2) + 8x+ 12 y + 15 = 0 and find the...

    Text Solution

    |

  4. Find the equation of a circle which is concentirc with x^(2) = y^(2)...

    Text Solution

    |

  5. If the abscissae of points A, B are the roots of the equation x^(2) + ...

    Text Solution

    |

  6. Find the equation of the circle passing through (2,-3) , (-4,5) and ha...

    Text Solution

    |

  7. Find the equation of a circle which passes through (4,1) (6,5) and h...

    Text Solution

    |

  8. Find the equation of a circle which passes through (2,-3) and (-4,5)...

    Text Solution

    |

  9. If ABCD is a square , then show that the points, A, B, C and D are con...

    Text Solution

    |

  10. Find the centre of the circle passing through the points (0,0), (2,0...

    Text Solution

    |

  11. Find the equation of circle passing through each of the following th...

    Text Solution

    |

  12. Find the equation of circle passing through each of the following th...

    Text Solution

    |

  13. Find the equation of circle passing through each of the following th...

    Text Solution

    |

  14. Show that the following four points in each jof the following are co...

    Text Solution

    |

  15. Show that the following four points in each jof the following are co...

    Text Solution

    |

  16. Show that the following four points in each jof the following are co...

    Text Solution

    |

  17. Show that the following four points in each of the following are concy...

    Text Solution

    |

  18. If (2,0),(0,1),(4,5) and (0,c) are concyclic then find c.

    Text Solution

    |

  19. Find the equation of the circum circle of the triangle formed by the l...

    Text Solution

    |

  20. Find the equation of the circum circle of the triangle formed by the l...

    Text Solution

    |