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

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B(Circle-Line)|142 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Pole, Polar)|107 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 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 line passes through a fixed point A(h, k). The locus of the foot of the perpendicular 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 lines passes through a fixed point ( a, b ) . The locus of the foot of the perpendicualr on it from origin is

Diameter of a circle passes through …………

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. The lines 2x-3y=5 and 3x-4y=7 are two diameters of a circle of area 15...

    Text Solution

    |

  2. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The area of the circle (x+1)(x+2)+(y-1)(y+3)=0 is

    Text Solution

    |

  6. The centre of the circle (x-2)(x-4)+(y-1)(y+3)=0 is

    Text Solution

    |

  7. The centre of the circle circumscribing the triangle formed by the lin...

    Text Solution

    |

  8. The centre of the incircle of the triangle formed by the line 3x+4y=24...

    Text Solution

    |

  9. Equation of the circle passing through A(1,2), B(5, 2) so that the ang...

    Text Solution

    |

  10. The equation of the diameter of the circle x^(2)+y^(2)+2x-4y-4=0 that ...

    Text Solution

    |

  11. The straight lines joining the origin to the points of intersectiion o...

    Text Solution

    |

  12. A straight line moves such that the algebraie-sum of the perpendicular...

    Text Solution

    |

  13. If the base of a triangle and the ratio of the lengths of the other tw...

    Text Solution

    |

  14. The condition that the chord a x cos alpha +y sin alpha -p=0" of "x^(2...

    Text Solution

    |

  15. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

    Text Solution

    |

  16. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

    Text Solution

    |

  17. A circle of radius r passes through the origin and meets the axes at A...

    Text Solution

    |

  18. A=(cos theta, sin theta) and B=(sin theta,-cos theta) are two points. ...

    Text Solution

    |

  19. The equation of the circle which passes through the origin and cuts of...

    Text Solution

    |

  20. The equation of the circle concentric with x^(2)+y^(2)-2x+8y-23=0 and ...

    Text Solution

    |