Home
Class 12
MATHS
A variablt circle passes through the fi...

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

A

a parabola

B

a circle

C

an ellipse

D

a hyperbola

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 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 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 :

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

If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then find its center.

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

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

If a variable circle 'C' touches the x-axis and touches the circle x^2+(y-1)^2=1 externally, then the locus of centre of 'C' can be:

A circle passes through the points (-1,3) and (5,11) and its radius is 5. Then, its centre 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:

The equation of the circle with centre (2,-3) and touching the y -axis is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 ...

    Text Solution

    |

  2. The centre of the circle touching the y -axis at (0,3) and making an ...

    Text Solution

    |

  3. A variablt circle passes through the fixed point (2,0) and touches th...

    Text Solution

    |

  4. The number of circleS that touch all the lines x+y-4=0, x-y+2=0 and y...

    Text Solution

    |

  5. The slope m of a tangtnt through the point (7,1) to the circle x^(2)+...

    Text Solution

    |

  6. The number of common tangtnts that can be drawn to the circleS x^(2)+...

    Text Solution

    |

  7. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

    Text Solution

    |

  8. The radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 x^(2)+y^(...

    Text Solution

    |

  9. The equation of the normal to the circle x^(2)+y^(2)+6 x+4 y-3=0 at (...

    Text Solution

    |

  10. A line is at a constant distance c from the origin and meets the coord...

    Text Solution

    |

  11. The four distinct points (0,0),(2,0),(0,-2) and (k,-2) are conclyic if...

    Text Solution

    |

  12. The radius of the larger circle lying in the first quadrant and touch...

    Text Solution

    |

  13. The equation of the circle of radius 5 and touching the coordinate ax...

    Text Solution

    |

  14. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

    Text Solution

    |

  15. If P is a point such that the ratio of the squares of the ltngths of t...

    Text Solution

    |

  16. If the circle x^(2)+y^(2)+6 x-2 y+k=0 bisects the circumference of th...

    Text Solution

    |

  17. A line l meet the circle x^(2)+y^(2)=61 in A and B and P(-5,6) is suc...

    Text Solution

    |

  18. If the line 3 x-2 y+6=0 meets x -axis and y -axis respectively at A an...

    Text Solution

    |

  19. If P(1), P(2) and P(3) are the perimeters of the three circleS and ...

    Text Solution

    |

  20. The number of circleS that touch all the three lines x+y-1=0, x-y-1=0...

    Text Solution

    |