Home
Class 12
MATHS
The length of the latus rectum of the el...

The length of the latus rectum of the ellipse `2x^2+4y^2=16` is

A

18

B

`27/2`

C

27

D

`27/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

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. 16x^(2)+y^(2)=16

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. 36x^(2)+4y^(2)=144

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. 4x^(2)+9y^(2)=36

The length of the latus rectum of the ellipse 16x^(2) + 25y^(2) = 400 is:

The length of latus rectum of the ellipse 25x^(2) + 9y ^(2) = 225 is _

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))/(4)+(y^(2))/(25)=1

find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(2))/(16) = 1

The length of latus rectum of the ellipse 9x^(2) + 25y^(2) = 225 is _

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))/(49)+(y^(2))/(36)=1

Let L be the end of a latus rectum of the ellipse 2x^(2) +4y^(2) =1 and it is in the third quadrandt, then the eccentric angle of L is-

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. If y = a + bx and Mo is the mode of x, then show that the mode of y mu...

    Text Solution

    |

  2. Consider the hyperbola H:x^2-y^2=1 and a circile S with center N(x2,0...

    Text Solution

    |

  3. The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

    Text Solution

    |

  4. The normal to the curve x^2+2xy-3y^2=0 at (1,1) :

    Text Solution

    |

  5. For all real values of a0.a1,a2,a3 satisfying a0x+a1x^2/2+a2x^3/3+a3x^...

    Text Solution

    |

  6. A particle starts moving from rest from a fixed point in a fixed direc...

    Text Solution

    |

  7. The least value of 2x^2+y^2+2xy+2x-3y+8 for realnumbers x and y is

    Text Solution

    |

  8. The minimum value of costheta+sintheta+2/(sin2theta) for theta in (0,p...

    Text Solution

    |

  9. Let y=e^(x^2)and y=e^(x^2) sinx be two given curves. Then the angle be...

    Text Solution

    |

  10. If the straight line (a-1)x-by+4=0 is normal to the hyperbola xy=1 the...

    Text Solution

    |

  11. If f(x) =x^2 and g(x) = sqrtx, then the correct relation will be

    Text Solution

    |

  12. Let f:(0,oo)rarrRR be given by f(x)=oversetxunderset(1/x)inte^((t+1/...

    Text Solution

    |

  13. Let a inRR and R and let f:RRrarrRR be given by f(x)=x^5-5x+a Then

    Text Solution

    |

  14. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

    Text Solution

    |

  15. If f(x) and g(x) are differentiable functions for 0lexle1 such that f(...

    Text Solution

    |

  16. If x=-1 and x=2 are extreme points of f(x)=alphalog|x|+beta|x|^2+x the...

    Text Solution

    |

  17. For every real number x, f(x)=x/(1!)+3/(2!)x^2+7/(3!)x^3+15/(4!)x^4+...

    Text Solution

    |

  18. Let f(x) be a differentiable function in [2,7]. If f(2) = 3 and f'(x)l...

    Text Solution

    |

  19. Suppose that the equation f(x)=x^2+bx+c has two distinct real roots al...

    Text Solution

    |

  20. Let f(x)=inte^x(x-1)(x-2)dx, then f(x) decreases in the interval

    Text Solution

    |