Home
Class 12
MATHS
The equation of the common tangent of th...

The equation of the common tangent of the two touching circles, `y^(2)+x^(2)-6x-12y+37=0` and `x^(2)+y^(2)-6y+7=0` is

A

`x-y+5=0`

B

`x-y-5=0`

C

`x+y+5=0`

D

`x+y-5=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2) +y^(2) - 6x - 8y -24 =0 is,

Find the number of common tangents to the circles x^(2)+y^(2)-8x+2y+8=0andx^(2)+y^(2)-2x-6y-15=0 .

The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) and the parabola y^(2)=8 a x is

The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x + 6y + 15 = 0

The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)+y^(2)+y=0 is

The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)+y^(2)+x=0 , is

The equations of the two tangents from (-5 , -4) to the circle x^(2) + y^(2) + 4x + 6y + 8 = 0 are

How many common tangents can be drawn to the following circles x^(2)+y^(2)=6 and x^(2)+y^(2)+6 x+2 y+1=0

If 2 x-3 y=0 is the equation of the common chord of the circleS x^(2)+y^(2)+4 x=0 and x^(2)+y^(2)+2 lambda y=0 then lambda=

The radical axis of the circles x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(2)-10x-6y+14=0 is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. If the length of the tangent from any point on the circle (x-3)^(2)+(y...

    Text Solution

    |

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

    Text Solution

    |

  3. The equation of the common tangent of the two touching circles, y^(2)+...

    Text Solution

    |

  4. If the line 2 x+3 y+k=0 is a tangtnt to the circle x^(2)+y^(2)-6 x-8 ...

    Text Solution

    |

  5. The area of the circle x^(2)+y^(2)-2 x+4 y-4=0 is

    Text Solution

    |

  6. x^(2) + y^(2) -6x -6y + 4 = 0, x^(2) + y^(2) -2x -4y + 3 = 0, x^(2) + ...

    Text Solution

    |

  7. If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cu...

    Text Solution

    |

  8. If two circleS x^(2)+y^(2)+2 lambda x+c=0 and x^(2)+y^(2)-2 mu y-c=0 ...

    Text Solution

    |

  9. Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y...

    Text Solution

    |

  10. The equation ot the circle concentric with x^(2)+y^(2)+6 x+2 y+1=0 an...

    Text Solution

    |

  11. The centre of a circle passing through the points (0,0),(1,0) and tou...

    Text Solution

    |

  12. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

  13. The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having...

    Text Solution

    |

  14. If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogo...

    Text Solution

    |

  15. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  16. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  17. A variable circle passes through the fixed point A (p, q) and touches ...

    Text Solution

    |

  18. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

    Text Solution

    |

  19. The intercept on the line y = x by the circle x^2+y^2-2x=0 is AB. Equ...

    Text Solution

    |

  20. If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogo...

    Text Solution

    |