Home
Class 12
MATHS
The equation of the ellipse whose foci a...

The equation of the ellipse whose foci are `(pm3,0)` and eccentricity 3/4 is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|34 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

The equation of the ellipse whose focus is at (4,0) and whose eccentricity is 4/5 is

Find the equation of the ellipse whose foci are (0pm 3) and e=3/4

The equation of the hyperbola whose foci are ( +- 5,0) and eccentricity 5/3 is

The equation of the ellipse whose focus is (3, -2), eccentricity 3/4 an directrix 2x-y+3=0

Find the equation of the ellipse whose focus is (0,3),eccentricity is 3/5 and the directrix is 3y - 25 = 0

The equation of the ellipse whose vertices are (2, 5), (2, -1) and eccentricity sqrt(5)/(3) is

The equation of the ellipse whose vertices are (2, 5), (2, -1) and eccentricity sqrt(5)//3 is

Equation of the hyperbola with foci (+-2 ,0) and eccentricity 3/2 is

Find the equation of the hyperbola whose foci are (6,4) and (-4,4) and eccentricity is 2.

The equation of the ellipse whose focus is (2, 4), centre is (3, 4) and eccentricity is 1/2 is

AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. Focus (4, 0), e = 1/2 , directrix is x -16 = 0. Then equation of the e...

    Text Solution

    |

  2. The equation of the ellipse whose foci are (pm3,0) and eccentricity 3/...

    Text Solution

    |

  3. If centre (1, 2), axes are parallel to co-ordinate axes, distance betw...

    Text Solution

    |

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

    Text Solution

    |

  5. The centre of the ellipse 9x^(2)+25y^(2)-18x-100y-160=0 is

    Text Solution

    |

  6. The centre of the ellipse (x+y-2)^(2)/9+(x-y)^(2)/16=1 is

    Text Solution

    |

  7. The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

    Text Solution

    |

  8. The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)-1 are

    Text Solution

    |

  9. The length of the latusrectum 16x^(2)+25y^(2) = 400 is

    Text Solution

    |

  10. If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha...

    Text Solution

    |

  11. If PSP' is a focal chord of the ellipse (x^(2))/(7)+(y^(2))/(9)=1 then...

    Text Solution

    |

  12. P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1; S,S^(1) are ...

    Text Solution

    |

  13. The distance between the focii of the ellipse x = 3 cos theta, y = 4 s...

    Text Solution

    |

  14. The equation of the major axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2...

    Text Solution

    |

  15. The equation of one of the latusrectum of (x-3)^(2)/(5)+(y-5)^(2)/(9)...

    Text Solution

    |

  16. The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

    Text Solution

    |

  17. The eccentricity of the ellipse (x-1)^(2)/(16)+(y-2)^(2)/(9)=1 is

    Text Solution

    |

  18. The eccentricity of the ellipse 9x^(2)+25y^(2)-18x-100y+20=0 is

    Text Solution

    |

  19. If a line (x)/(8)+(y)/(5)=1 meets the ellipse on x - axis and the lin...

    Text Solution

    |

  20. If the length of the major axis is n times the minor axis of the ellip...

    Text Solution

    |