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

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

Text Solution

Verified by Experts

The correct Answer is:
4ax
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

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

PQ is a double ordinate of a parabola y^(2)=4ax . The locus of its points of trisection is another parabola length of whose latus rectum is k times the length of the latus rectum of the given parabola, the value of k is

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 -

If latus rectum of ellipse (x^(2))/(25)+(y^(2))/(16)=1 is double ordinate of parabola y^(2)=4ax, then find the value of a.

If the line Ix+my+n=0 is a tangent to the parabola y^(2)=4ax, then locus of its point of contact is:

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.

PQ is a focal chord of the parabola y^(2)=4ax,O is the origin.Find the coordinates of the centroid.G.of triangle OPQ and hence find the locus of G as PQ varies.

Let PQ be a double ordinate of the parabola,y^(2)=-4x where P lies in the second quadrant.If R divides PQ in the ratio 2:1 then teh locus of R is

A variable chord of the parabola y^(2)=8x touches the parabola y^(2)=2x. The the locus of the point of intersection of the tangent at the end of the chord is a parabola.Find its latus rectum.

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of it...

    Text Solution

    |

  2. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

    Text Solution

    |

  3. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  4. The axis of parabola is along the line y=x and the distance of its ver...

    Text Solution

    |

  5. The equations of the common tangents to the parabola y = x^2 and y=-...

    Text Solution

    |

  6. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

    Text Solution

    |

  7. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  10. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  11. Statement I The curve y = x^2/2+x+1 is symmetric with respect to the l...

    Text Solution

    |

  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  13. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

    Text Solution

    |

  14. A parabola has the origin as its focus and the line x=2 as the directr...

    Text Solution

    |

  15. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

    Text Solution

    |

  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  18. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

    Text Solution

    |

  19. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  20. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  21. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |