Home
Class 12
MATHS
If the latusrectum of an ellipse is equa...

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

Text Solution

Verified by Experts

The correct Answer is:
`sqrt((3)/(2))`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|178 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If the latusrectum of an ellipse is equal to half of minor axis, find its eccentricity.

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

If the latus rectum of an ellipse is equal to half of minor axis, then its eccentricity is (i) sqrt((3)/(2)) (ii) (sqrt(3))/(2) (iii) (1)/(2) (iv) None of these

If the latus rectum of an ellipse is equal to half of the minor axis, then what is its eccentricity ?

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. If the latusrectum of an ellipse is equal to half of minor axis, then ...

    Text Solution

    |

  2. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  3. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  4. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  5. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  6. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  7. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  8. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

    Text Solution

    |

  9. Let P be the point on the parabola y^(2)4x which is at the shortest di...

    Text Solution

    |

  10. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  11. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

    Text Solution

    |

  12. Tangent PT and normal PN to the parabola y^(2)=4ax at a point P on it ...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

  17. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

    Text Solution

    |

  18. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  21. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

    Text Solution

    |