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

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

A

`(x-p)^(2)=4 q y`

B

`(x-q)^(2)=4 p y`

C

`(y-p)^(2)=4 q x`

D

`(y-q)^(2)=4 p x`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

The circle passing through the point (-1,0) and touching the y-axis at (0, 2) also passes through the point:

If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogonally, then the locus of its centre is :

A variable line intersects the co-ordinate axes at A and B and passes through a fixed point (a, b), then the locus of the vertex C of the rectangle OACB where O is the origin is :

Equation of a circle which passes through (3, 6) and touches the axes is:

If a circle passes through the point (a, b) and cuts the circle x^2+y^2=p^2 orthogonally, then the equation of the locus of its centre is:

If a circle passes through the point (a, b) circle x^2 + y^2 - k^2 = 0 orthogonally, then the equation of the locus of its centre is :

Consider a family of circles which are passing through the point (-1, 1) and are tangent to x-axis. If (h,k) are the co-ordinates of the centre of the circle, then the set of values of k is given by the interval :

A circle touches the x - axis and also touches the circle with centre (0,3) and radius 2. The locus of the centre of the circle is :

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  8. The equation x^(2)+y^(2)+4 x+6 y+13=0 represents

    Text Solution

    |

  9. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

    Text Solution

    |

  10. The triangle PQR is inscribed in the circle x^2 + y^2 = 25. If Q and R...

    Text Solution

    |

  11. If the circles x^2+y^2+2x+2ky + 6=0 and x^2+y^2+2ky+k=0 intersect orth...

    Text Solution

    |

  12. If a > 2b > 0, then the positive value of m for which y=mx-bsqrt(1-m^2...

    Text Solution

    |

  13. If the tangent at a point P on the circle x^2 + y^2 + 6x + 6y = 2, mee...

    Text Solution

    |

  14. A square is formed by two pairs of straight lines x^2 - 8x + 12 = 0 an...

    Text Solution

    |

  15. If one of the diameters of the circle x^2+ y^2-2x-6y + 6=0 is a chord ...

    Text Solution

    |

  16. The locus of the centre of a circle which touches externally the cir...

    Text Solution

    |

  17. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  18. Two vertices of an equilateral trianglt are (-1,0) and (1,0) and its t...

    Text Solution

    |

  19. The length of the tangtnt from (0,0) to the circle 2x^(2)+2y^(2)+x-y+...

    Text Solution

    |

  20. Consider the circleS, x^(2)+(y-1)^(2)=9 (x-1)^(2)+y^(2)=25 . These ...

    Text Solution

    |