Home
Class 12
MATHS
the eccentricity of an ellipse (x^(2...

the eccentricity of an ellipse `(x^(2))/(a^(2))+(y^(2))=1` whose latus rectum is half of its minor axes , is

A

`1//sqrt(2)`

B

`sqrt(2//3)`

C

`sqrt(3)//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • ELLIPSE

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

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

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose latus rectum is half of its major axis.

Find the eccentricity of the ellipse (i) whose latus rectum is equal to half of its minor axis (ii) whose latus rectum is equal to half of its major axis (iii) if the major axis is three times the minor axis

If the eccentricity of the ellipse, x^2/(a^2+1)+y^2/(a^2+2)=1 is 1/sqrt6 then latus rectum of ellipse is

Find the eccentricity of the ellipse whose latus rectum is (i) half its major axis, (ii) half its minor axis.

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

Find the eccentricity of an ellipse if its latus rectum is equal to one-half of its major axis.

Find the eccentricity of the ellipse whose latus rectum is 4 and distance of the vertex from the nearest focus is 1.5 cm.

The length of latus rectum AB of ellipse (x^(2))/4+(y^(2))/3=1 is :

For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two latus rectum are the four points

Find the eccentricity of the ellipse whose latus rectum is one third of the major axis.

OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. the length of the latusrectum of the ellipse 3x^(2) + y^(2) = 12 ....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The distance from the foci of P (x(1), y(1)) on the ellipse x^2/9+y^2/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

    Text Solution

    |

  15. the eccentricity to the conic 4x^(2) +16y^(2)-24x-32y=1 is

    Text Solution

    |

  16. A set of points is such that each point is three times as far away fro...

    Text Solution

    |

  17. the foci of an ellipse are (0+-6) and the equation of the direc...

    Text Solution

    |

  18. An ellipse has its centre at (1,-1) and semi major axis =8 and it pass...

    Text Solution

    |

  19. Let L L ' be the latusrectum and S be a focus of the ellipse (x^...

    Text Solution

    |

  20. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

    Text Solution

    |