Home
Class 12
MATHS
A variable chord PQ of the parabola y^2 ...

A variable chord PQ of the parabola `y^2 = 4ax` subtends a right angle at the vertex. The locus of the points of intersection of the normals at P and Q is the parabola

A

a parabola

B

a hyperbola

C

a circle

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos

  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

A variable chord PQ of the parabola y=4x^(2) subtends a right angle at the vertex. Then the locus of points of intersection of the tangents at P and Q is

If a chord PQ of the parabola y^(2)=4ax subtends a right angle at the vertex,show that the locus of the point of intersection of the normals at P and Q is y^(2)=16a(x-6a)

A normal chord of the parabola y^(2)=4ax subtends a right angle at the vertex if its slope is

The normal chord of the parabola y^(2)=4ax subtends a right angle at the vertex.Then the length of chord is

A chord of parabola y^(2)=4ax subtends a right angle at the vertex The tangents at the extremities of chord intersect on

If a normal chord at a point on the parabola y^(2)=4ax subtends a right angle at the vertex, then t equals

The normal chord of the parabola y^(2)=4ax subtends a right angle at the focus.Then the end point of the chord is

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. The locus of the points of intersectino of the tangents at the extremi...

    Text Solution

    |

  2. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

  3. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  4. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  5. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

    Text Solution

    |

  6. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  7. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

    Text Solution

    |

  8. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  9. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  10. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  11. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  12. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  13. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

    Text Solution

    |

  14. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  15. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  16. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  17. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  18. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

  19. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  20. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |