Home
Class 12
MATHS
The ordinates of points P and Q on the p...

The ordinates of points P and Q on the parabola `y^2=12x` are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

A

`343y^2=48(x+6)^3`

B

`343y^2=48(x-6)^3`

C

`343x^2=49(x+6)^3`

D

`343x^2=48(y-6)^3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|15 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|178 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

Let the ordinates of points P and Q on the parabola y^2 = 12x be in the ratio 1:3 and (alpha, beta) be the point of intersection of normals to parabola at P and Q , then (12^2(alpha-6)^3/(beta^2)=

If the normals drawn at the end points of a variable chord PQ of the parabola y^2 = 4ax intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

If tangents be drawn from points on the line x=c to the parabola y^2=4x , show that the locus of point of intersection of the corresponding normals is the parabola.

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^2=4a xdot

If the distances of two points P and Q from the focus of a parabola y^2=4x are 4 and 9,respectively, then the distance of the point of intersection of tangents at P and Q from the focus is

Tangents are drawn at the end points of a normal chord of the parabola y^(2)=4ax . The locus of their point of intersection is

The distance of two points P and Q on the parabola y^(2) = 4ax from the focus S are 3 and 12 respectively. The distance of the point of intersection of the tangents at P and Q from the focus S is

If P is a point on the parabola y^(2)=8x and A is the point (1,0) then the locus of the mid point of the line segment AP is

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 2
  1. If a sphere of mass m moving with velocity u collides with another ide...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

    Text Solution

    |

  4. Tangents at point B and C on the parabola y^2=4ax intersect at A. The ...

    Text Solution

    |

  5. The triangle formed by the tangent to the parabola y^2=4x at the point...

    Text Solution

    |

  6. The parabolas y=x^2-9" and "y=kx^2 intersect at points A and B. If len...

    Text Solution

    |

  7. If a chord which is normal to the parabola at one end subtend a right ...

    Text Solution

    |

  8. Set of values of 'h' for which the number of distinct common normals o...

    Text Solution

    |

  9. If the normal to the parabola y^2=4ax at the point (at^2, 2at)cuts the...

    Text Solution

    |

  10. On the parabola y^2 = 4ax, three points E, F, G are taken so that thei...

    Text Solution

    |

  11. PQ is a double ordinate of the parabola y^(2)=4ax. If the normal at P ...

    Text Solution

    |

  12. The equation of circle passing through co-normal points of y^2=4ax is:

    Text Solution

    |

  13. A tangent to the parabola y^2 + 4bx = 0 meets the parabola y^2 = 4ax i...

    Text Solution

    |

  14. A bag contains a total of 20 books on physics and mathematics, Any po...

    Text Solution

    |

  15. A tangent to the parabola y^2 + 4bx = 0 meets the parabola y^2 = 4ax i...

    Text Solution

    |

  16. Prove that the locus of the point of intersection of tangents to the p...

    Text Solution

    |

  17. P is parabola y^2=4ax and locus of mid points of all chords of this pa...

    Text Solution

    |

  18. Foot of the directrix of the parabola y^(2) = 4ax is the point

    Text Solution

    |

  19. Two straight lines are perpendicular to each other. One of them touche...

    Text Solution

    |

  20. P is parabola y^2=4ax and locus of mid points of all chords of this pa...

    Text Solution

    |