Home
Class 11
MATHS
Find the angle made by a double ordinate...

Find the angle made by a double ordinate of length `8a` at the vertex of the parabola `y^2=4a xdot`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the angle made by a double ordinate of length 2a at the vertex of the parabola y^(2)=ax .

The vertex of the parabola x^(2)+2y=8x-7 is

Find the vertex of the parabola x^2=2(2x+y) .

The vertex of the parabola x^(2)-6x+4y+1=0 is

Find the length of normal chord which subtends an angle of 90^0 at the vertex of the parabola y^2=4xdot

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

The vertex of the parabola y^(2) + 6x -2y + 13=0 is:

If the area of the triangle whose one vertex is at the vertex of the parabola, y^(2) + 4 (x - a^(2)) = 0 and the other two vertices are the points of intersection of the parabola and Y-axis, is 250 sq units, then a value of 'a' is

One double ordinate makes a right angle at the vertex of a parabola y^2=8x .the length of the double ordinate will be

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If normal to the parabola y^2-4a x=0 at alpha point intersects the par...

    Text Solution

    |

  2. If the parabolas y^(2)=4axandy^(2)=4c(x-b) have a common normal other ...

    Text Solution

    |

  3. Find the angle made by a double ordinate of length 8a at the vertex of...

    Text Solution

    |

  4. The cable of a uniformly loaded suspension bridge hangs in the form of...

    Text Solution

    |

  5. If the chord of contact of tangents from a point P to the parabola y^2...

    Text Solution

    |

  6. Tangents are drawn from any point on the line x+4a=0 to the parabola y...

    Text Solution

    |

  7. If a normal to a parabola y^2 =4ax makes an angle phi with its axis, t...

    Text Solution

    |

  8. Tangents are drawn to y^(2)=4ax at point where the line lx+my+n=0 meet...

    Text Solution

    |

  9. Find the vertex of the parabola x^2=2(2x+y).

    Text Solution

    |

  10. Find the length of the common chord of the parabola y^2=4(x+3) and th...

    Text Solution

    |

  11. Find the coordinates of any point on the parabola whose focus is (0, 1...

    Text Solution

    |

  12. If the focus and vertex of a parabola are the points (0, 2) and (0, 4)...

    Text Solution

    |

  13. Find the length of the latus rectum of the parabola whose focus is at ...

    Text Solution

    |

  14. The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the eq...

    Text Solution

    |

  15. The vertex of a parabola is (2,2) and the coordinates of extremities o...

    Text Solution

    |

  16. Find the equation of the directrix of the parabola x^2-4x-3y+10=0.

    Text Solution

    |

  17. Find the locus of midpoint of chord of the parabola y^(2)=4ax that pas...

    Text Solution

    |

  18. In the parabola y^(2)=4ax, the tangent at P whose abscissa is equal to...

    Text Solution

    |

  19. If the normal to the parabola y^2=4a x at point t1 cuts the parabola a...

    Text Solution

    |

  20. If the three normals from any point to the parabola y^(2)=4x cut the l...

    Text Solution

    |