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

A variable circle passes through the fixed `A (p, q)` and touches the x-axis. Show that the locus of the other end of the diameter through `A` is (x-p)^2 = 4qy`.

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

A variable circle passes through the point P (1, 2) and touches the x-axis. Show that the locus of the other end of the diameter through P is (x-1)^2 = 8y .

A variable circle passes through the point A(a,b) and touches the x-axis.Show that the locus of the other end of the diameter through A is (x-a)^(2)=4by

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

A variable circle passes through the fixed point (2, 0) and touches 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 A(2,1) and touches y -axis then the locus of its centre is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The lines 2x – 3y = 5 and 3x – 4y = 7 are diameters of a circle having...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

    Text Solution

    |

  7. If a circle passes through the point (a, b) and cuts the circle x^2 +y...

    Text Solution

    |

  8. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  9. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

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

    Text Solution

    |

  11. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  12. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |

  13. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  14. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  15. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

    Text Solution

    |

  16. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |

  17. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

  18. The length of the diameter of the circle which touches the x-axis at t...

    Text Solution

    |

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

    Text Solution

    |

  20. If each of the lines 5x + 8y = 13 and 4x - y = 3 contains a diameter o...

    Text Solution

    |