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)=4by`.

A

a parabola

B

a circle

C

an ellipse

D

a hyperbola

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|132 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 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=4b ydot

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

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

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

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 the circlex x^2+y^2=p^2 equation of the locus of its centre is

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

Find the equation of circle passing through the points (1,-2) and (3,-4) and touches the X-axis.

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Chapter Test
  1. The normal at the point (3,4) on a circle cuts the circle at the poins...

    Text Solution

    |

  2. The inverse point of (1, -1) with respect to x^(2)+y^(2)=4, is

    Text Solution

    |

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

    Text Solution

    |

  4. The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0, ...

    Text Solution

    |

  5. A straight rot of length 9 units slides with its ends A,B always on th...

    Text Solution

    |

  6. Find in-radius of the triangle formd by the axes and the line 4x+3y-12...

    Text Solution

    |

  7. A line is at a distance 'c' from origin and meets axes in A and B. The...

    Text Solution

    |

  8. The number of circles that touch all the straight lines x+y-4=0, x-y+2...

    Text Solution

    |

  9. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  10. The four points of intersection of the lines (2x-y+1)(x-2y+3)=0 with t...

    Text Solution

    |

  11. If 2x+3y-6=0 and 9x+6y-18=0 cuts the axes in concyclic points, then th...

    Text Solution

    |

  12. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

    Text Solution

    |

  13. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

    Text Solution

    |

  14. PQ is a chord of the circle x^(2)+y^(2)-2x-8=0 whose mid-point is (2, ...

    Text Solution

    |

  15. The number of circles belonging to the system of circles 2(x^(2)+y^(2)...

    Text Solution

    |

  16. If (-1/3,-1) is a centre of similitude for the circles x^2+y^2=1 and x...

    Text Solution

    |

  17. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

    Text Solution

    |

  18. x=1 is the radical axis of the two orthogonally intersecting circles....

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. The circles x^(2)+y^(2)+6x+6y=0 and x^(2)+y^(2)-12x-12y=0:

    Text Solution

    |