Home
Class 12
MATHS
Find the equation of the ellipse (referr...

Find the equation of the ellipse (referred to its axes as the axes of `xa n dy` , respectively) whose foci are `(+-2,0)` and eccentricity is `1/2`

A

`(x^(2))/(12)+(y^(2))/(16)=1`

B

`(x^(2))/(16)+(y^(2))/(12)=1`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos
  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|7 Videos
  • DIFFERENTIATION

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos
  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse (referred to its axes as the axes of x and y, respectively) whose foci are (+-2,0) and eccentricity is (1)/(2)

Find the equation to the ellipse (referred to its axes as the axation of x and y respectively) which passes through the point (-3,1) and has eccentricity sqrt((2)/(5))

Find the equation of the ellipse, referred to its axes as the x, y axes respectively, which passes through the point (-3, 1) and has the eccentricity sqrt(2/5) .

The equation of the ellipse whose foci are (pm2,0) and eccentricity is 1/2 is

The equation to the ellipse whose foci are (pm2,0) and eccentricity 1/2 is

If the focal distance of an end of the minor axis of an ellipse (referred to its axes as the axes of x and y, respectively) is k and the distance between its foci is 2h, them find its equation.

Find the equation of the ellipse , referred to is principal axes , for which eccentricity is (1/3) and foci are (pm 4, 0)

The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity = 1//sqrt(2) is

The equation of the ellipse whose foci are (0,+-2) and eccentricity 2/3 is

OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents ...

    Text Solution

    |

  2. the equation of the ellipse whose foucs is S(1,-1) directrix th...

    Text Solution

    |

  3. Find the equation of the ellipse (referred to its axes as the axes ...

    Text Solution

    |

  4. Find the equation to the ellipse (referred to its axes as the axes of ...

    Text Solution

    |

  5. The eccentricity of the ellipse 9x^2+5y^2-30 y=0 is

    Text Solution

    |

  6. if the tangent at the ends B and B' of minor axis at L and L' ...

    Text Solution

    |

  7. If A and B are two fixed points and P is a variable point such that P...

    Text Solution

    |

  8. the length of the latusrectum of the ellipse 3x^(2) + y^(2) = 12 ....

    Text Solution

    |

  9. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

    Text Solution

    |

  10. the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))=1 whose l...

    Text Solution

    |

  11. If the focal distance of an end of the minor axis of an ellipse (re...

    Text Solution

    |

  12. if 2y = x and 3y + 4x=0 are the equations of a pair of conjuga...

    Text Solution

    |

  13. if theta is a parameter then x=a ( sin theta + cos theta), y...

    Text Solution

    |

  14. The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 a...

    Text Solution

    |

  15. Find the equation for the ellipse that satisfies the given conditions...

    Text Solution

    |

  16. The eccentricity of the curve x^(2)-4x+4y^(2)=12 is

    Text Solution

    |

  17. The parametric representation of a point on the ellipse whose foci are...

    Text Solution

    |

  18. if S and S are two foci of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

  19. The eccentricity of the ellipse represented by 25 x^2+16 y^2-150 x-175...

    Text Solution

    |

  20. the length of the latusrectum of the ellipse 5x^(2) + 9x^(2)=45...

    Text Solution

    |