Home
Class 12
MATHS
Let the length of the latus rectum of an...

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it ?

A

`(4sqrt(2), 2sqrt(2))`

B

`(4sqrt(2), 2sqrt(3))`

C

`(4sqrt(3), 2sqrt(3))`

D

`(4sqrt(3), 2sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 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

Let the length of latus rectum of an ellipse with its major axis along x-axis and center at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of the minor axis , then which of the following points lies on it: (a) (4sqrt2, 2sqrt2) (b) (4sqrt3, 2sqrt2) (c) (4sqrt3, 2sqrt3) (d) (4sqrt2, 2sqrt3)

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

The distance between the foci of an ellipse is equal to half of its minor axis then eccentricity is

If the length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 20 units, distance between foci is equal to length of minor axis, then find the equation of the ellipse.

If the length of the latus rectum of an ellipse with major axis along y-axis and centre at origin is 6 units, distance between foci is equal to length of minor axis, then the equation of the ellipse.

The length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 12 units, distance between th e focus and the origin is equal to length of minor axis. Find the length of the major axis and minor axis.

If the latus rectum of an ellipse with major axis along y-axis and centre at origin is (1)/(5) , distance between foci = length of minor axis, then the equation of the ellipse is

the length of the latusrectum of an ellipse is one thrid of its major axis , its eccentricity would be

The latus rectum of an ellipse is half of its minor axis. Its eccentricity is :

If the distance between the foci of an ellipse is 8 and length of latus rectum is 18/5, then the eccentricity of ellipse is:

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. Let the length of the latus rectum of an ellipse with its major axis a...

    Text Solution

    |

  4. Let S and S' be the foci of the ellipse and B be any one of the extrem...

    Text Solution

    |

  5. If the length of the semi-major axis of an ellipse is 68 and e = 1/2, ...

    Text Solution

    |

  6. For what value of lambda touches the ellipse 9x^(2)+16y^(2)=144.

    Text Solution

    |

  7. If the normals at an end of a latus rectum of an ellipse passes throug...

    Text Solution

    |

  8. The eccentricity of the ellipse which meets the straight line x/7+y/2=...

    Text Solution

    |

  9. The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(...

    Text Solution

    |

  10. Find the angle between the pair of tangents from the point (1,2) to...

    Text Solution

    |

  11. S and T are foci of an ellipse and B is an end of the minor a...

    Text Solution

    |

  12. The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^...

    Text Solution

    |

  13. If x/a+y/b=sqrt(2) touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , the...

    Text Solution

    |

  14. The line y=2t^2 meets the ellipse (x^2)/(9)+(y^2)/(4)=1 in real points...

    Text Solution

    |

  15. The locus of the foot of the perpendicular from the foci an any tangen...

    Text Solution

    |

  16. Prove that the product of the perpendiculars from the foci upon any ta...

    Text Solution

    |

  17. If the locus of the point of intersection of perpendicular tangents to...

    Text Solution

    |

  18. The equation of the ellipse with focus (-1,1) directrix x-y+3=0 and ec...

    Text Solution

    |

  19. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |

  20. The equation of the tangent to the ellipse x^2+16y^2=16 making an angl...

    Text Solution

    |