Home
Class 12
MATHS
On the parabola = y^(2)=8x. If one extri...

On the parabola = `y^(2)=8x`. If one extrimity of focal chord is `((1)/(2),-2)` then its other extrimity is

A

`(8,(1)/(2))`

B

`((1)/(8), -8)`

C

`(2,2)`

D

(8,8)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

On the parabola y^(2)=8x if one extremity of a focal chord is (1//2,-2) then its other extremity is

If ((1)/(2),2) is one extermity of a focal chord of the parabola y^(2)=8x. Find the co-ordinates of the other extremity.

Show that the tangent at one extremity of a focal chord of a parabola is parallel to the normal at the other extremity.

A chord is drawn through the focus of the parabola y^(2) =6x such that its distance from the vertex of this parabola is (sqrt5)/(2) , then its slope can be

If alpha,beta are the ends of a focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then its eccentricity e is

A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diameter touches the axis of the parabola. Then the slope of the chord is

AAKASH SERIES-PARABOLA-EXERCISE- II
  1. In the parabola y^(2) = 4x, the length of the chord passing through th...

    Text Solution

    |

  2. The length of chord Intercepted by the parabola y=x^(2)+3x on the lin...

    Text Solution

    |

  3. On the parabola = y^(2)=8x. If one extrimity of focal chord is ((1)/(2...

    Text Solution

    |

  4. If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4...

    Text Solution

    |

  5. Match the lengths of the focal chords drawn to y^(2)=8x from points ha...

    Text Solution

    |

  6. If x-2y-a = 0 is a chord of y^(2) = 4ax then its length is

    Text Solution

    |

  7. If (x(1),y(1)) and (x(2),y(2)) are ends of focal chord of y^(2)=4ax th...

    Text Solution

    |

  8. If the tangents to y^(2)= 2x at 3 points have inclinations 30^(@), 40^...

    Text Solution

    |

  9. If y(1),y(2) are the ordinates of two points P and Q on the parabola a...

    Text Solution

    |

  10. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

    Text Solution

    |

  11. The area of triangle formed by the points points and t(1),t(2) and t(3...

    Text Solution

    |

  12. The area of triangle formed by tangents at the parametrie points t(1),...

    Text Solution

    |

  13. If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the...

    Text Solution

    |

  14. Equation of normal to y^(2) = 4x at the point whose ordinate is 4 is

    Text Solution

    |

  15. The equation of normal to y^(2) = 4ax at the point of contact of a Ta...

    Text Solution

    |

  16. The angle between normals to y^(2) = 24x at the points (6, 12) and (6,...

    Text Solution

    |

  17. If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G a...

    Text Solution

    |

  18. If t(1),t(2),t(3) are the feet of normals drawn from (x(1),y(1)) to th...

    Text Solution

    |

  19. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

    Text Solution

    |

  20. Number of normals drawn through the point (8, 4) to the parabola y^(2)...

    Text Solution

    |