Home
Class 12
MATHS
(2,4 ) and (10 , 10 ) are the ends of ...

(2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse with eccentricity 1/2 . The length of major axis is

A

`(20 )/( 3) `

B

` ( 40 )/(3) `

C

`( 25)/(3) `

D

`( 80 )/(3) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 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

If the latus rectum of an ellipse is half of its minor axis then e =

The latus rectum of an ellipse is 1/3 of the major axis. It's eccentricity is

A focus of an ellipse is at the origin the directrix is the line x=4 and the eccentricity is 1/2 . Then the length of semi major axis is

Find the equation of the ellipse with centre (2, 1), e=1/3 one end of the major axis (2,-5).

A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2 . Then the length of the semi - major axis is

If the length of the major axis of an ellipse is four times the length of its minor axis, then it's eccentricity is

The ends of the latus rectum of the parabola (x-2)^(2)=-6(y+1) are

If the normal at the end of latus rectum of an ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 of eccentricity e passes through one end of the minor axis then e^(4)+e^(2)=

The eccentricity of an ellipse i s sqrt(3)/(2) its length of latus rectum is

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. In a model. It is shown that an arch of abridge is semi-elliptical wit...

    Text Solution

    |

  2. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

    Text Solution

    |

  3. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

    Text Solution

    |

  4. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

    Text Solution

    |

  5. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

    Text Solution

    |

  6. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

    Text Solution

    |

  7. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

    Text Solution

    |

  8. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

    Text Solution

    |

  9. The locus of the foot of the perpendicular drawn from the centre of th...

    Text Solution

    |

  10. The locus of the mid points of parallel chords of an ellipse is a strr...

    Text Solution

    |

  11. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

    Text Solution

    |

  12. A point moves such that the distance from the point (2,0) is always 1...

    Text Solution

    |

  13. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

    Text Solution

    |

  14. The nature of inter cepts made on the axes by the tangent at the point...

    Text Solution

    |

  15. If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(...

    Text Solution

    |

  16. Angle substended by common tangents of two ellipse 4( x-4) ^(2) +25y^(...

    Text Solution

    |

  17. The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the rea...

    Text Solution

    |

  18. If S and S' are the foci of the ellipse (x^(2))/( 25)+ ( y^(2))/( 16) ...

    Text Solution

    |

  19. If a tangent of slope 2 of the ellipse (x^(2))/( a^(2)) +(y^(2))/( b^...

    Text Solution

    |

  20. Statement 1: In a triangle ABC , If base BC is fixed and perimeter of ...

    Text Solution

    |