Home
Class 12
MATHS
In the parabola y^(2) -2y +8x -23 =0 t...

In the parabola `y^(2) -2y +8x -23 =0 ` the length of double ordinate at a distance of 4 units from its vertex is

A

2

B

8

C

12

D

` 8sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise ELLIPSE|55 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise SYSTEM OF CIRCLES|22 Videos
  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos
  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

In the parabola y^(2)-2y+8x-23=0 the length of double ordinate at a distance of 3 from its vertex is

Length of the double ordinateof the parabola y^(2) = 4x , at a distance of 16 units from its vertex is

The focus of the parabola y^(2)-4y-8x-4=0 is

The focus of the parabola x^(2)-2x-8y-23=0 is

In the parabola y^(2) = 4x , the length of the chord passing through the vertex and muking an angle (pi)/(4) with the axis is

The vertex of the parabola y^(2)+4x-2y+3=0 is

The ordinate of a point on the parabola y^(2) = 18x is one third of its length of the latusrectom. Theo the length of subtangent at the point is

The angle subtended by the double ordinate of length 8a of the parabola y^(2)=4ax at its vertex is

The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. A telegraphic wire suspended between two poles of height 15 mts is in ...

    Text Solution

    |

  2. Angle subtended by double ordinate of length 32 sqrt ( 3) of the par...

    Text Solution

    |

  3. In the parabola y^(2) -2y +8x -23 =0 the length of double ordinate a...

    Text Solution

    |

  4. The length of the chord of the parabola x^(2) =4ay passing through th...

    Text Solution

    |

  5. Length of chord of parabola y^(2) =4ax whose equation is y-sqrt2 x + ...

    Text Solution

    |

  6. The tangent to y^(2)=ax makes an angle 45^(@) with x-axis . Then its ...

    Text Solution

    |

  7. Point of contact of the line kx + y-4 =0, w.r.t. the parabola y=x -x^...

    Text Solution

    |

  8. P and Q are two points on the parabola ( y-2) ^(2) =(4-3) . The normal...

    Text Solution

    |

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

    Text Solution

    |

  10. If two tangents drawn from a point P to the parabola y^(2)=4x are at r...

    Text Solution

    |

  11. Assertion (A) : The least length of the focal chord of y^(2) =4ax is...

    Text Solution

    |

  12. Assertion (A) : Orthocentre of the triangle formed by any three tangen...

    Text Solution

    |

  13. Show that length of perpendecular from focus 'S' of the parabola y^(2)...

    Text Solution

    |

  14. If A,B,C are 3 points on a parabola , Delta 1 , Delta2 are the areas...

    Text Solution

    |

  15. Prove that the orthocentre of the triangle formed by any three tangent...

    Text Solution

    |

  16. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

    Text Solution

    |

  17. The no. of normals drawn to (y-1) ^(2) =8 ( x+3) through (4,1 )

    Text Solution

    |

  18. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

    Text Solution

    |

  19. If two of the three feet of normals drawn from a point to the parabola...

    Text Solution

    |

  20. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

    Text Solution

    |