Home
Class 12
MATHS
A variable circle passes through the fix...

A variable circle passes through the fixed point A(p, q) and touches axis. The locus of the other end of the diameter through A is

A

`(x-p)^(2) =4qy `

B

` (x-q)^(2) =4py `

C

` (y-p)^(2) =4qx `

D

` (y-q)^(2)=4px`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise SYSTEM OF CIRCLES|22 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

A variable circle passes through the fixed point (2,0) and touches the y-axis. Then the locus of its centre is

A circle passes through A(1,1) and touches x-axis then the locus of the other end of the diameter through A is

A circle passes through P(a,b) and touches the x-axis. The locus of the other end of diameter of the circle through P is

A circle passes thorugh A(2,1) and touches y-axis then the locus of its centre is

A lines passes through a fixed point ( a, b ) . The locus of the foot of the perpendicualr on it from origin is

A line passes through a fixed point A(a, b). The locus of the foot of the perpendicular on it from origin is

A line passes through a fixed point A(h, k). The locus of the foot of the perpendicular on it from origin is

Diameter of a circle passes through …………

AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. A variable circle passes through the fixed point A(p, q) and touches a...

    Text Solution

    |

  2. If the lines (x+1)/(2) =(y-1)/( 1) =(z+1)/(3) and (x+2)/(2) =( y-k)/...

    Text Solution

    |

  3. Let Q be the foot the perpendicular from the origin to the plane 4x-3y...

    Text Solution

    |

  4. The angle between the lines whose direction cosines satisfy the equati...

    Text Solution

    |

  5. If the lines L1 and L2 in space are defined by L1 = {x=sqrt lambda y+...

    Text Solution

    |

  6. If the projection of a line segment on the x, y and z -axes in 3 dim...

    Text Solution

    |

  7. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

    Text Solution

    |

  8. The equation of a plane through the line of intersection of the planes...

    Text Solution

    |

  9. Equation of a plane which passes through the point of intersection of ...

    Text Solution

    |

  10. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

    Text Solution

    |

  11. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

    Text Solution

    |

  12. The plane containing the line (x-1)/(1) =(y-2)/( 2) =(z-3)/(3) and ...

    Text Solution

    |

  13. A symmetrical form of the line of intersection of the planes x= ay +b...

    Text Solution

    |

  14. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

    Text Solution

    |

  15. Equation of the line of shortest distance between the lines (x)/(1) =...

    Text Solution

    |

  16. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

    Text Solution

    |

  17. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

    Text Solution

    |

  18. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

    Text Solution

    |

  19. The angle between the lines 2x =3y =-z and -6x =y =-4z is

    Text Solution

    |

  20. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

    Text Solution

    |

  21. A variable plane passes through a fixed point (1,-2,3) and meets the ...

    Text Solution

    |