Home
Class 12
MATHS
find the equation of the tajngents ot th...

find the equation of the tajngents ot the
circle `x^(2) + y^(2) - 4x + 6y -12 = 0` which are
parallel to `x + y - 8 = 0`

Text Solution

Verified by Experts

The correct Answer is:
` x + y +1 +- 5sqrt2 =0`
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

(i) Find the equation of the tangents to the circle x^(2)+y^(2)-4x+6y-12=0 which are parallel to x+y-8=0 (ii) Find the equations of the tangents to the circle x^(2)+y^(2)-5x+6y-12=0 which are paralel to x+2y-8=0

The equation of the tangents to the circle x^(2)+y^(2)-4x-6y-12=0 and parallel to 4x-3y=1 are

Find the equation of the tangents to the circle x^(2) + y^(2) -4x - 6y + 3 = 0 which makes an angle 45^(@) with X - axis.

Find the equation of tangents to x^(2)+ y^(2) -4x + 6y - 12=0 which are parallel to x + 2y -8=0 .

Find the parametric equations of the circles x^(2) + y^(2) - 4x + 6y -12=0

Find the pole of x + y + 2= 0 with respect to the circle x^(2)+ y^(2) - 4x + 6y -12= 0 .

The equation of the diameter of the circle x^(2) + y^(2) -4x-6y +3 = 0 that is perpendicular 2x + 5y-6 = 0 is

The equation to the locus of the midpoints of chords of the circle x^(2)+y^(2)-8x+6y+20=0 which are parallel to 3x+4y+5=0 is

The equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the line mirror x+y-1=0 is

The equation of the diameter of the circle x^(2)+y^(2)+2x-4y-4=0 that is parallel to 3x+5y-4=0 is

AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

    Text Solution

    |

  2. If S-=x^(2)+y^(2)+2gx=2fy+c=0 represents a circle then show that the s...

    Text Solution

    |

  3. find the equation of the tajngents ot the circle x^(2) + y^(2) - 4x ...

    Text Solution

    |

  4. Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches ...

    Text Solution

    |

  5. Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches ...

    Text Solution

    |

  6. Find the equation of the circle with centre (-3, 4) and touching y-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |