Home
Class 12
MATHS
Let the directrix of a parabola y^(2)=2 ...

Let the directrix of a parabola `y^(2)=2 a x` is a tangent to a circle which has its centre coinciding with the focus of the parabola. Then the point of intersection of the parabola and circle is/are

A

`(a,-a)`

B

`((a)/(2), (a)/(2))`

C

`((a)/(2), pm a)`

D

`(pm a, (a)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

Similar Questions

Explore conceptually related problems

The directrix of the parabola y^(2)=16 x is

The focus of the parabola y=2 x^(2)+x is

Find the focus of the parabola x^2+16y=0 .

The directrix of the parabola x^(2)-4x-8y+12=0

Focus of the parabola y^(2)=16 x is at

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The length of latus rectum of the parabola y^(2)=4 a x whose focal cho...

    Text Solution

    |

  2. The equation of a line drawn through the focus of the parabola y^(2)=-...

    Text Solution

    |

  3. Let the directrix of a parabola y^(2)=2 a x is a tangent to a circle w...

    Text Solution

    |

  4. The equation of the parabola which passes through the intersection of ...

    Text Solution

    |

  5. y^(2)-2 x-2 y+5=0 is

    Text Solution

    |

  6. The length of the latus rectum of the parabola x^(2)-4 x-8 y+12=0 is

    Text Solution

    |

  7. An equation of the tangent to y^(2)=9 x which passes through (4,10) is

    Text Solution

    |

  8. The equation of the parabola with its vertex at the origin, axis on th...

    Text Solution

    |

  9. The equation of the parabola whose focus is (5,3) and the directrix 3 ...

    Text Solution

    |

  10. The point of the parabola y^(2)=18 x for which the ordinate is three t...

    Text Solution

    |

  11. The tangents drawn at the extremeties of a focal chord of the parabola...

    Text Solution

    |

  12. For the parabola y^(2)=4x the point P whose focal distance is 17 is

    Text Solution

    |

  13. The angle between the tangents drawn to the parabola y^(2)=12x from th...

    Text Solution

    |

  14. The tangents drawn at the extremeties of a focal chord of the parabola...

    Text Solution

    |

  15. The length of the latus rectum of 3x^(2)-4y+6x-3=0 is

    Text Solution

    |

  16. The sum of the reciprocals of focal distances of a focal chord PQ of y...

    Text Solution

    |

  17. The ends of the latus rectum of the parabola x^(2)+10x-16y+25=0 are

    Text Solution

    |

  18. The length of the latus rectum of the parabola bx^(2)-4ay+dx+e=0

    Text Solution

    |

  19. The directrix of the parabola x^(2)-4x-8y+12=0

    Text Solution

    |

  20. If the normals at points ' t(1) " and ' t(2) ' to the parabola y^(2)=4...

    Text Solution

    |