Home
Class 12
MATHS
The length of the latusrectum of the ell...

The length of the latusrectum of the ellipse `3x^(2)+y^(2)=12` is

A

`4`

B

`3`

C

`8`

D

`(4)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The length of latus rectum of the ellipse 3x^(2) + y^(2) = 12 is (i) 4 (ii) 3 (iii) 8 (iv) (4)/(sqrt(3))

Find the eccentricity, the semi-major axis, the semi-minor axis, the coordinates of the foci, the equations of the directrices and the length of the latus rectum of the ellipse 3x^(2)+4y^(2)=12 .

Find the eccentricity, the coordinates of the foci, and the length of the latus rectum of the ellipse 2x^(2)+3y^(2)=1 .

the length of the latusrectum of the ellipse 5x^(2) + 9x^(2)=45, is

The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x - 6y - 13 = 0 is

If the length of the latusrectum of the ellipse x^(2) tan^(2) theta + y^(2) sec^(2) theta = 1 is 1/2, then theta =

The length of latus-rectum of the ellipse 3x^(2) + 4y^(2) - 6x + 8y - 5 = 0 is (i) 3 (ii) (3)/(2) (iii) (sqrt(3))/(2) (iv) none of these

the length of the latusrectum of the ellipse (x^(2))/(36)+(y^(2))/(49)=1 , is

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

The tangents at the extremities of the latus rectum of the ellipse 3x^(2)+4y^(2)=12 form a rhombus PQRS. Area (in sq. units) of the rhombus PQRS outside the ellipse is equal to

VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. The length of the latusrectum of the ellipse 3x^(2)+y^(2)=12 is

    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

    |