Home
Class 12
MATHS
Prove that the tangent at (3,-2) of the ...

Prove that the tangent at `(3,-2)` of the circle ` x^(2) + y^(2) = 13` touches the circle
`x^(2) + y^(2) + 2x - 10 y - 26 = 0` and find its
point of contact.

Text Solution

Verified by Experts

The correct Answer is:
(5,1)
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.3|55 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.1|108 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 the tangent at (-1, 2) of the circle x^(2) + y^(2) - 4x -8y + 7 = 0 touches the circle x^(2) + y^(2) + 4x + 6y = 0 and also find its point of contact.

Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y +14 = 0 and find its point of contact.

If 4x-3y+7 = 0 is a tangent ot the circle repesented by x^(2) + y^(2) -6x + 4y - 12 = 0 , then find its point of contact.

The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y-12=0 to the circle x^(2)+y^(2)+4x-6y+4=0 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.

If tangents are drawn to the circle x^(2) + y^(2) = 12 at the points where it intersects the circle x^(2) + y ^(2) - 5 x + 3y - 2 = 0 then the coordinates of the points of intersection of those tangents are

The equation of the common tangent at the point contact of the circles x^(2) + y^(2) - 10x + 2y + 10 = 0 , x^(2) + y^(2) - 4x - 6y + 12 = 0 is

If tangents are drawn to the circle x^(2) + y^(2) = 12 at the points of intersection with the circle x^(2) + y^(2) -5x + 3y -2 =0 , then the ordinate of the point of intersection of these tangents is

AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. Find the equation of the circle with centre (-3, 4) and touching y-...

    Text Solution

    |

  2. Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(...

    Text Solution

    |

  3. If 4-3y+7 = 0 is a tangent ot the circle repesented by x^(2) + y^(2)...

    Text Solution

    |

  4. Prove that the tangent at (3,-2) of the circle x^(2) + y^(2) = 13 ...

    Text Solution

    |

  5. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

    Text Solution

    |

  6. Find the equation of the circle passing through (-1,0) and touching ...

    Text Solution

    |

  7. Fing the length of tangent from P to the ltbr., circle S = 0 when P ...

    Text Solution

    |

  8. Fing the length of tangent from P to the ltbr., circle S = 0 when P=...

    Text Solution

    |

  9. Fing the length of tangent from P to the ltbr., circle S = 0 when P ...

    Text Solution

    |

  10. If the length of the tangent from (5,4) to the circle x^(2) + y^(2) ...

    Text Solution

    |

  11. If a point P is moving such that the lengths of the tangents drawn f...

    Text Solution

    |

  12. If the lengths of the tangents drawn from P to the circles x^(2)+y^(2)...

    Text Solution

    |

  13. Find the locus of P if the tangents drawn from P to x^(2) + y^(2) =...

    Text Solution

    |

  14. From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are draw...

    Text Solution

    |

  15. Find the parametric equations of the circles x^(2) + y^(2) - 4x + 6...

    Text Solution

    |

  16. Find the parametric equations of the cirlces (i) x^(2)+y^(2)=1 (ii)...

    Text Solution

    |

  17. Obtain the parametric equation of each of the following circles. (...

    Text Solution

    |

  18. If x=-1 + 5 cos theta , y = 2 + 5 sin theta , show that the locus of...

    Text Solution

    |

  19. If the parametric values of two points A and B lying on the circle ...

    Text Solution

    |

  20. Find the equation of the tangent at the point 30^(@) (parametric val...

    Text Solution

    |