Home
Class 12
MATHS
PQ is a double ordinate of the parabola ...

PQ is a double ordinate of the parabola `y^(2)=4ax`. If the normal at P intersect the line passing through Q and parallel to x-axis at G, then locus of G is a parabola with :

A

length of latus rectum equal to 4a

B

vertex at (4a, 0)

C

directrix as the line

D

focus as (5a, 0)

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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

PQ is a double ordinate of the parabola y^2 = 4ax . If the normal at P intersect the line passing through Q and parallel to axis of x at G, then locus of G is a parabola with -

PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of its points of trisection.

In the parabola y^(2) = 4ax , the length of the chord passing through the vertex and inclined to the x-axis at (pi)/(4) is

If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the tangent at the Vertex A in P and the rectangle TAPQ is completed then locus of Q is

PC is the normal at P to the parabola y^2=4ax, C being on the axis. CP is produced outwards to disothat PQ =CP ; show that the locus of Q is a parabola.

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G and S is the focus then SG=

.If the tangent to the parabola y 2 =4ax meets the axis in T and tangent at the vertex A in Y and the recatngle TAYG is completed, then the locus of G is

The locus of midpoints of chords of the parabola y^(2)=4ax which are parallel to line y =mx +c is

Statement-1: The tangents at the extremities of a focal chord of the parabola y^(2)=4ax intersect on the line x + a = 0. Statement-2: The locus of the point of intersection of perpendicular tangents to the parabola is its directrix

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 2
  1. If the normal to the parabola y^2=4ax at the point (at^2, 2at)cuts the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A line bisecting the ordinate PN of a point P(at^2,2at),t gt 0 , on th...

    Text Solution

    |

  14. If P, Q, R are three points on a parabola y^2=4ax whose ordinates are ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. The tangent at the point P(x1, y1) to the parabola y^2 = 4 a x meets t...

    Text Solution

    |

  17. Find the equations of the common tangents to the circle x^2+y^2 = 8 an...

    Text Solution

    |

  18. If the normal at any point P on the ellipse cuts the major and mirror ...

    Text Solution

    |

  19. Prove that the focus of id-points of the portion of the tamgents to th...

    Text Solution

    |

  20. The tangent and normal to the ellipse x^2+4y^2=4 at a point P(theta) o...

    Text Solution

    |