Home
Class 12
MATHS
If distance between the foci of an ellip...

If distance between the foci of an ellipse is 6 and distance between its directionces is 12, then length of its latus rectum is

A

`3sqrt(2)`

B

`sqrt(3)`

C

`2sqrt(3)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

If m times distance between foci of an ellipse is equal to n times distance between its directrices , then

If the distance foci of an ellipse is 8 and distance between its directrices is 18 , then the equation of the ellipse is

Can the distance between foci of an ellipse be equal to distance its directrices ?

Distance between foci is 8 and distance between directrices is 6 of hyperbola, then length of latusrectum is

If the length of the eccentricity of an ellipse is (3)/(8) and the distance between the foci is 6 units, then the length of the latus rectum of the ellipse is

In an ellipse the distance between the foci is 8 and the distance between the directrices is 25. The length of major axis, is

In an ellipse the distance between the foci is 8 and the distance between the directrices is 25, then the ratio of the length of major and minor axis is

If the eccentricity of an ellipse is (4)/(9) and the distance between its foci is 8 units, then find the length of the latus rectum of the ellipse.

Distance between foci of a hyperbola is double the distance between its vertices . If the length of its conjugate axis is 6, then equation is

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. If z=x+iy and real part ((z-1)/(2z+1))=1 then locus of z is

    Text Solution

    |

  2. The area that is enclosed in the circle x^(2)+y^(2)=2 which is not com...

    Text Solution

    |

  3. If distance between the foci of an ellipse is 6 and distance between i...

    Text Solution

    |

  4. An unbaised coin is thrown 5 times. Let X be a random variable and k b...

    Text Solution

    |

  5. (p to q) wedge (q to -p) is equivalent to

    Text Solution

    |

  6. If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

    Text Solution

    |

  7. Let alpha be a root of the equation x ^(2) + x + 1 = ...

    Text Solution

    |

  8. Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e...

    Text Solution

    |

  9. lim ( x to 2 ) ( 3 ^(x) + 3 ^( 3 - x ) - 12 ) /( 3 ...

    Text Solution

    |

  10. Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be t...

    Text Solution

    |

  11. If f(x)=|2-|x-3|| is non differentiable in X in S. Then value of unde...

    Text Solution

    |

  12. If variance of first n natural number is 10 and variance of first m ev...

    Text Solution

    |

  13. If sum of all the coefficient of even powers in (1-x+x^(2)-x^(3)....x^...

    Text Solution

    |

  14. If theta(1) and theta(2) be respectively the smallest and the largest ...

    Text Solution

    |

  15. Let y(x) is solution of differential equation (y^2 – x) (dy)/(dx) = 1 ...

    Text Solution

    |

  16. The value of c in the Lagrange's mean value theorem for the function f...

    Text Solution

    |

  17. Let 3 + 4 + 8 + 9 + 13 + 14 + 18 +……….40 terms = S. If S = (102)m then...

    Text Solution

    |

  18. The area bounded by x^4 le y le 8x+12 is -

    Text Solution

    |

  19. Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – ...

    Text Solution

    |

  20. There are 5 machines. Probability of a machine being faulted is 1/4 . ...

    Text Solution

    |