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` meets the straight line `5x-2y+6=0` at a point Q on the y-axis then show that PQ=5.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.4 ( LONG ANSWER QUESTIONS)|3 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 meet the line 5x-2y+6=0 at a point Q on y-axis then PQ=

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

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

If the tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle x^2+y^2-8x+6y+20=0 then the point of contac tis

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

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)

AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  2. If the angle between the tangents drawn from P to the circle x^(2)+y^(...

    Text Solution

    |

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

    Text Solution

    |

  4. If the straight line y=mx is outside the circle x^(2)+y^(2)-20y+90=0, ...

    Text Solution

    |

  5. If (-4,3) and (12, -1) are the ends of diameter of a circle which make...

    Text Solution

    |

  6. If the chord y=mx+1 of the circle x^(2)+y^(2)=1 subtends an angle of m...

    Text Solution

    |

  7. Tangent to the curve y=x^(2)+6 at the point P(1,7) touches the circle ...

    Text Solution

    |

  8. If the lines 3x-4y+4=0 and 6x-8y-7=0 , x^(2)+y^(2)+16x+12y+c=0 are tan...

    Text Solution

    |

  9. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  10. The extremities of a diameter of a circle have coordinates A(-4,3) and...

    Text Solution

    |

  11. Show that the equation of the circles touching the Y-axis at (0,3) and...

    Text Solution

    |

  12. Show that the point of intersection of the line 4x-3y-10=0 and the cir...

    Text Solution

    |

  13. Show that the equation of a line passing through the point (11,-2) and...

    Text Solution

    |

  14. If x+3y=0 is a tangent to the circle with centre at (-1,2) then show t...

    Text Solution

    |

  15. Show that the radius of the circle lying in the first quadrant, passin...

    Text Solution

    |

  16. A circle touches Y-axis at (0,3) and makes an intercept 2 units on the...

    Text Solution

    |

  17. Two circles, each of radius 5 have a common tangent at (1,1), whose eq...

    Text Solution

    |

  18. Show that the angle between the tangents drawn from (-1,3) to the circ...

    Text Solution

    |

  19. If the circles (x-1)^(2)+(y-3)^(2)=4r^(2) and x^(2)+y^(2)-8x+2y+8=0 in...

    Text Solution

    |

  20. Show that the centre of the circle passing through the points (0,0) an...

    Text Solution

    |