Home
Class 12
MATHS
Axes are coordinate axes, A and L are th...

Axes are coordinate axes, A and L are the ends of major axis and latusrectum. Area of 1 `triangle` OAL = 8 sq. units, e =`(1)/sqrt(2)` then equation of the ellipse is

A

`(x^(2))/(16)+(y^(2))/(8)=1`

B

`(x^(2))/(32)+(y^(2))/(16)=1`

C

`(x^(2))/(64)+(y^(2))/(32)=1`

D

`(x^(2))/(8)+(y^(2))/(4)=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-I|52 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

Axes are co-ordinate axes, A and B are ends of major axes and minor axis, area of triangle OAB is 16 sq units if e= sqrt(3)/(2) then equation of the ellipse is

The major and minor axes of an ellipse are along the X -axis and Y -axis respectively. If its latusrectum is of length 4 and the distance between the foci is 4sqrt(2) , then the equation of that ellipse is

If length of the major axis is 8 and e = 1/sqrt(2) Axes are co-ordinate axes then equation of the ellipse is

If centre (1, 2), axes are parallel to co-ordinate axes, distance between the foci 8, e = (1)/sqrt(2) then equation of the ellipse is

I : The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity =1//sqrt(2) " is " x^(2)//64+y^(2)//32=1 II : The equation o the ellipse with its axes as the coordinate axes respectively and whose minor axis = 6 and eccentricity = 1/2 is x^(2)//12+y^(2)//9=1

A straight line meets the coordinates axes at A and B, so that the centroid of the triangle OAB is (1, 2). Then the equation of the line AB is

If foci and the ends of the minor axis of an ellipse are the vertices of a square, then show that the e = (1)/sqrt(2)

Axes are co-ordinate axes, S and S^(1) are Foci, B and B^(1) are the ends of minor axis |SBS^(1) = sin ^(-1) ((4)/(5) ) . if area of SB S^(1) B^(1) is 20sq. Units then eq. of the ellipse is

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. The equation of the ellipse referred to its axes as coordinate axes, w...

    Text Solution

    |

  2. The equation of the ellipse with its focus at (6, 2), centre at (1, 2)...

    Text Solution

    |

  3. Axes are coordinate axes, A and L are the ends of major axis and latus...

    Text Solution

    |

  4. If vertices of an ellipse are (-4, 1), (6,1) and x - 2y = 2 is a focal...

    Text Solution

    |

  5. Foci of an ellipse are at S(l,7),S'(l,-3) - The point P is on the elli...

    Text Solution

    |

  6. Find the equation of the ellise in the standard form whose distance be...

    Text Solution

    |

  7. The equation (x^(2))/(10-k)+(y^(2))/(k-4)=1 represents an ellipse if

    Text Solution

    |

  8. For the ellipse (x^(2))/(25)+(y^(2))/(16) = 1, a list of lines given i...

    Text Solution

    |

  9. The foci of the ellipse 9x^(2)+25y^(2)-36x+50y-164=0 are

    Text Solution

    |

  10. The length of the latusrectum of 9x^(2) + 25y^(2) - 90x - 150y + 225 =...

    Text Solution

    |

  11. Equations of the latus recta of the ellipse 9x^(2)+4y^(2)-18x-8y-23=0 ...

    Text Solution

    |

  12. If the equation 8[(x + 1)^(2) + (y - 1)^(2)] = (x - y + 3)^(2) repres...

    Text Solution

    |

  13. If A = (1,2),B = ( 3 ,-2 ) and P moves in the plane such that AP + BP ...

    Text Solution

    |

  14. Match the following from List-I to List-II {:(list-I,list-II),("majo...

    Text Solution

    |

  15. (x - 2)^(2) + (y + 3)^(2) = 16 touching the ellipse (x-2)^(2)/(p^(2))+...

    Text Solution

    |

  16. The radius of the circle passing through the foci of the ellipse x^(2)...

    Text Solution

    |

  17. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

    Text Solution

    |

  18. A focus of an ellipse is at the origin the directrix is the line x=4 a...

    Text Solution

    |

  19. The eccentricity of the ellipse x^(2)+4y^(2)+2x+16y+13=0 is

    Text Solution

    |

  20. LL^(1) is the latus rectum of an ellipse and triangleS^(1)LL^(1) is an...

    Text Solution

    |