Home
Class 12
MATHS
If the tangent at the point P on the cir...

If the tangent at the point P on the circle `x^(2)+y^(2)+6x+6y=2` meet the line `5x-2y+6=0` at a point Q on y-axis then PQ=

A

`10`

B

`15`

C

`25`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meets the straight line 5x-2y+6=0 at a point Q on the y-axis then show that PQ=5.

The nearest point on the circle x^(2)+y^(2)-6x+4y-12=0" from "(-5,4)" is "

For the circle x^(2)+y^(2)-6x-6y+5=0" the lines "3x+y-2=0, x+7y-11=0 are

If y+c=0 is a tangent to the circle x^(2)+y^(2)-6x-2y+1=0 at (a, 4), then

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

Tangent to the curve y=x^(2)+6 at the point P(1,7) touches the circle x^(2)+y^(2)+16x+12y+c=0 at a point Q. Show that Q=(-6,-7)

Locate the position of the point (2,4) w.r.t the circle x^(2)+y^(2)-5x-6y+11=0

AAKASH SERIES-CIRCLES-EXERCISE II
  1. The line y=x is a tangent at (0,0) to a circle of radius is 1, then ce...

    Text Solution

    |

  2. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

    Text Solution

    |

  3. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meet t...

    Text Solution

    |

  4. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

    Text Solution

    |

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

    Text Solution

    |

  6. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

    Text Solution

    |

  7. The locus of the points from which the lengths of the tangents to the ...

    Text Solution

    |

  8. The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coo...

    Text Solution

    |

  9. The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta i...

    Text Solution

    |

  10. The locus of the middle points of portions of the tangents to the circ...

    Text Solution

    |

  11. Observe the lists:

    Text Solution

    |

  12. If a circle of radius 2 touches X-axis at (1,0) then its centre may be

    Text Solution

    |

  13. The circle passing through (1,-2) and touching the axis of x at (3,0) ...

    Text Solution

    |

  14. Equation of the tangents to the circle at the point (1,-1) whose centr...

    Text Solution

    |

  15. Equation of circles which touch both the axes and also the line x=k(kg...

    Text Solution

    |

  16. Centres of circles touching both the axes and also the line 3x+4y-12=0...

    Text Solution

    |

  17. The radius of the larger circle lying in the first quadrant and touchi...

    Text Solution

    |

  18. The equation of the circles which touch the x-axis at the origin and t...

    Text Solution

    |

  19. If two circles touching both the axes are passing through (2,3) then l...

    Text Solution

    |

  20. The radius of the circle having maximum size passing through (2,4) and...

    Text Solution

    |