Home
Class 12
MATHS
A parabola y^(2)=4axandx^(2)=4by interse...

A parabola `y^(2)=4axandx^(2)=4by` intersect at two points. A circle is passed through one of the intersection point of these parabolas and touch the directrix of first parabola then the locus of the centre of the circle is

A

straight line

B

ellipse

C

circle

D

parabola

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - II)|20 Videos

  • PARABOLA

    FIITJEE|Exercise COMPREHENSIONS|9 Videos

  • PARABOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL - II)|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The two parabolas y^(2)=4x" and "x^(2)=4 intersect at a point P, whose abscissas is not zero, such that

Show that the locus of the mid point of chords of a parabola passing through the vertex is a parabola

Circles are described on the chords of the parabola y^(2)=4ax drawn though the vertex.The locus of the centres of circle

Consider a circle with its centre lying on the focus of the parabola,y^(2)=2px such that it touches the directrix of the parabola.Then a a point of intersection of the circle & the parabola is:

FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)
  1. The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x...

    Text Solution

    |

  2. The triangle formed by the tangent to the parabola y=x^(2) at the poin...

    Text Solution

    |

  3. A parabola y^(2)=4axandx^(2)=4by intersect at two points. A circle is ...

    Text Solution

    |

  4. Consider a circle with its centre lying on the focus of the parabola, ...

    Text Solution

    |

  5. Show that the locus of a point that divides a chord of slope 2 of the ...

    Text Solution

    |

  6. All chords of the parabola y^(2)=4x which subtend right angle at the o...

    Text Solution

    |

  7. A variable chord PQ of the parabola y=4x^(2) subtends a right angle at...

    Text Solution

    |

  8. P & Q are the points of contact of the tangents drawn from the point T...

    Text Solution

    |

  9. Point on the curve y^(2)=4(x-10) which is nearest to the line x + y = ...

    Text Solution

    |

  10. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

    Text Solution

    |

  11. The equation of the common tangent touching the circle (x-3)^(2)+y^(2)...

    Text Solution

    |

  12. The mirror image of the parabola y^2=4x in the tangent to the parab...

    Text Solution

    |

  13. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |

  14. If the parabola y=(a-b)x^2+(b-c)x+(c-a) touches x- axis then the line...

    Text Solution

    |

  15. Find the locus of midpoint of family of chords lamdax+y=5(lamda is par...

    Text Solution

    |

  16. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

    Text Solution

    |

  17. The parabola y^2 = 4x and the circle (x-6)^2 + y^2 = r^2 will have no...

    Text Solution

    |

  18. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

    Text Solution

    |

  19. If one end of the diameter of a circle is (3, 4) which touches the x-a...

    Text Solution

    |

  20. The point on the parabola y^(2)=8x whose distance from the focus is 8 ...

    Text Solution

    |