Home
Class 12
MATHS
Foci are (0, pm3), e = 3/4, equation of ...

Foci are (0, `pm`3), e = `3/4`, equation of the ellipse is

A

`(x^(2))/(7)+(y^(2))/(16)=1`

B

`(x^(2))/(9)+(y^(2))/(16)=1`

C

`(x^(2))/(9)+(y^(2))/(18)=1`

D

`(x^(2))/(16)+(y^(2))/(25)=1`

Text Solution

Verified by Experts

The correct Answer is:
A
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

If vertices are (2, -2), (2, 4) and e = 1/3 then equation of the ellipse is

Focus (3, 0), e = 3/5 , d irectrix 3x-25= 0, 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

The centre is (2, -3), focus (3, -3) and the vertex is at (4, -3). The equation of the ellipse is

The axis of the ellipse are coordinate axes. It passes through the pts P(2, 7), 2(4, 3). The equation of the ellipse is

The vertices of a hyperbola are (2,0 ) ,( -2,0) and the foci are (3,0) ,(-3,0) .The equation of the hyperbola 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

Foci of an ellipse are at S(l,7),S'(l,-3) - The point P is on the ellipse such that SP = 7, S'P = 5. Then the equation of the ellipse is

An ellipse with the eccentricity e = 1/2 has a focus at (0, 0) and the corresponding directix is x+6=0. The equation of the ellipse is

Focus (4, 0), e = 1/2 , directrix is x -16 = 0. Then equation of the ellipse is

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. Focus (3, 0), e =3/5, d irectrix 3x-25= 0, equation of the ellipse is

    Text Solution

    |

  2. Foci are (0, pm3), e = 3/4, equation of the ellipse is

    Text Solution

    |

  3. The eccentricity of an ellipse, with its centre at the origin, is 1/2....

    Text Solution

    |

  4. Equation of the ellipse whose axes are the axes of coordinates and whi...

    Text Solution

    |

  5. Focus (-1, 1), e = 1/2 directirx i s x - y + 3 = 0 eq. of the ellipse ...

    Text Solution

    |

  6. The equation of the ellipse referred to its axes as coordinate axes, w...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |