Home
Class 11
MATHS
If for an ellipse length of minor axis a...

If for an ellipse length of minor axis and distance between two focii are equal then its eccentricity e = ……….

A

`(1)/(sqrt(2))`

B

`(sqrt(2))/(3)`

C

`(sqrt(3))/(2)`

D

`(2)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|4 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|19 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

Length of transverse axis and conjugate axis in hyperbola are equal then its eccentricity e =…….

……..is the equation of hyperbola whose distance between two focii is 16 and eccentricity e = sqrt(2) .

Eccentricity e of ellipse is .............if length of minor axis is distance between its focii.

If the eccentricity of an ellipse is (5)/(8) and ht distance between its foci is 10, then find latus rectum of the ellipse.

An image of a linear object due to a convex mirror is 1/4 th of the length of the object . If focal length of the mirror is 10 cm , find the distance between the object and the image. The linear object is kept perpedicular to the axis of the mirror.

If the latus rectum of an ellipse is equal of half of minor axis, then find its eccentricity.

The edge of a cube is of length of a. The shortest distance between the diagonals of a cube an edge skew to it is ........

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(36)+(y^(2))/(16)=1

KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK BASED MCQS
  1. Line l : 2x - 3y + 8 = 0 intersect parabola y^(2) = 8x in point P and...

    Text Solution

    |

  2. Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

    Text Solution

    |

  3. If for an ellipse length of minor axis and distance between two focii ...

    Text Solution

    |

  4. Length of latus rectum of ellipse 2x^(2)+81y^(2)=162

    Text Solution

    |

  5. Length of latus rectum of ellipse 4x^2+9y^2=1 is ............ .

    Text Solution

    |

  6. Eccentricity of ellipse is ..........if length of latus rectum is half...

    Text Solution

    |

  7. Radius of the circle with centre (0,3) and passes from focus of ellip...

    Text Solution

    |

  8. …….is the equation of ellipse with eccentricity e = (2)/(3). Length of...

    Text Solution

    |

  9. Eccentricity of ellipse (x^(2))/(169) + (y^(2))/(25) = 1 and (x^(2))/(...

    Text Solution

    |

  10. If equation (x^(2))/(2-r) + (y^(2))/(r-5) + 1 = 0 represents ellipse t...

    Text Solution

    |

  11. ……..of the following is the equation of ellipse with focus (-1, 1) ecc...

    Text Solution

    |

  12. If y = mx - 1 is tangent to the hyberbola (x^(2))/(16) - (y^(2))/(9) ...

    Text Solution

    |

  13. …….of the following is not the eccentricity of hyperbola.

    Text Solution

    |

  14. ……..is the equation of hyperbola whose distance between two focii is 1...

    Text Solution

    |

  15. e(1) and e(2) are eccentricities of conies 5x^(2) + 9y^(2) = 45 and 5x...

    Text Solution

    |

  16. Co-ordinates of focii of hyperbola 2x^(2) - 3y^(2) = 5 is ……….

    Text Solution

    |

  17. Length of transverse axis and conjugate axis in hyperbola are equal th...

    Text Solution

    |

  18. Equation of directrix of Conic x^(2) + 2x - y^(2) + 5 = 0 is …….

    Text Solution

    |

  19. P is point on hyperbola 16x^(2) - 9y^(2) = 144. S(1) and S(2) are its ...

    Text Solution

    |

  20. Position of the point (3,4) with respect to hyperbola x^(2) - 4y^(2) +...

    Text Solution

    |