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

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=4b ydot`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 3 (Subjective | JEE Advanced) Matrix Match Type|1 Videos
  • CIRCLE

    MOTION|Exercise Exerise - 4 | Level - I (Previous Year|JEE Main|10 Videos
  • CIRCLE

    MOTION|Exercise Exercise -2 (Level - II) Multiple correct | JEE Advanced|14 Videos
  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

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 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 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 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

MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  2. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

    Text Solution

    |

  3. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  4. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  5. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  6. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  7. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

    Text Solution

    |

  8. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

    Text Solution

    |

  9. Consider a circles S with centre at the origin and radius 4. Four circ...

    Text Solution

    |

  10. Obtain the equations of the straight lines passing through the point A...

    Text Solution

    |

  11. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  12. Consider a family of circles passing through two fixed points A (3,7) ...

    Text Solution

    |

  13. The circle C : x^(2) + y^(2) + kx + (1 + k)y – (k + 1) = 0 passes thro...

    Text Solution

    |

  14. Let A, B, C be real numbers such that (i) (sin A, cos B) lies on a ...

    Text Solution

    |

  15. A Rhombus ABCD has sides of length 10. A circle with centre ‘A’ passes...

    Text Solution

    |

  16. Circles C(1) and C(2) are externally tangent and they are both interna...

    Text Solution

    |

  17. Determine the range of values of theta in [0, 2pi] for which the point...

    Text Solution

    |

  18. If 7l^(2)-9m^(2) + 8l + 1 = 0 and we have to find equation of circle ...

    Text Solution

    |

  19. If 7l^(2)-9m^(2) + 8l + 1 = 0 and we have to find equation of circle ...

    Text Solution

    |

  20. If 7l^(2)-9m^(2) + 8l + 1 = 0 and we have to find equation of circle ...

    Text Solution

    |