Home
Class 12
MATHS
The foci of an ellipse are (0,pm4) and t...

The foci of an ellipse are `(0,pm4)` and the equations for the directtices are `y=pm9.` The equation for the ellipse is

A

`5x^(2)+9y^(2)=4`

B

`2x^(2)-6y^(2)=28`

C

`6x^(2)+3y^(2)=45`

D

`9x^(2)+5y^(2)=180`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 20

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (Mathematics)|49 Videos

  • PRACTICE SET 22

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

Similar Questions

Explore conceptually related problems

the foci of an ellipse are (0+-6) and the equation of the directrces are y=+- 9. the equation of the ellipse is

Foci of an ellipse are (pm 5, 0) and one of its directrices is 5x = 36 . Then its equation is

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length,then find the equation of the ellipse.The axes of ellipse are the coordinate axes.

If the foci of an ellipse are (pm sqrt5,0) and its exccentricity is (sqrt5)/(3), then the equation of the ellipse is

The length of the major axis of an ellipse is 20 units and its foci are (pm 5sqrt3, 0). Find the equation of the ellipse.

Find the equation of the ellipse whose vetices are (pm6, 0) and foci are (pm 4, 0) .

If an ellipse has its foci at (2,0) and (-2,0) and its length of the latus rectum is 6, then the equation of the ellipse is:

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 21-PAPER 2 (MATHEMATICS)
  1. The circle x^(2)+y^(2)-10x-14y+24=0 cuts an intercepts on y-axis of le...

    Text Solution

    |

  2. The number of solutions of the following equations x(2)-x(3)=1,-x(1)+2...

    Text Solution

    |

  3. Number of tangents from (7,6) to ellipse (x^(2))/(16)+(y^(2))/(25)=1 i...

    Text Solution

    |

  4. The maximum value of Z =x +3y such that 2x +y le 20, x +2y le 20, x g...

    Text Solution

    |

  5. Which of the following statements is not correct for the R by aRb if a...

    Text Solution

    |

  6. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

    Text Solution

    |

  7. Let f be a function defined for all x in R. If f is differentiable and...

    Text Solution

    |

  8. int x^(2) sin x dx is equal to

    Text Solution

    |

  9. The solution of the differential equation ye^(x//y)dx=(xe^(x//y)+y^(...

    Text Solution

    |

  10. If a=hati+2hatj+2hatkand b=3hati+6hatj+2hatk, then the vector in the ...

    Text Solution

    |

  11. The element in the first row and third column of the inverse of the ma...

    Text Solution

    |

  12. The foci of an ellipse are (0,pm4) and the equations for the directtic...

    Text Solution

    |

  13. lim(x to a) (x^(m)-a^(m))/(x^(n)-a^(n)) is equal to

    Text Solution

    |

  14. The area of the triangle having vertices as hati-2hatj+3hatk,-2hati+3h...

    Text Solution

    |

  15. if y = sec ( tan^(-1) x) then (dy)/(dx) is

    Text Solution

    |

  16. int(x dx)/(x^(2)+4x+5) is equal to

    Text Solution

    |

  17. lim(x to 0)(x)/(tan^(-1)2x) is equal to

    Text Solution

    |

  18. The angle between the tangents drawn from the point (1,4) to the par...

    Text Solution

    |

  19. int(1/2)^2 1/x sin^(101) (x-1/x) dx=

    Text Solution

    |

  20. Let a, b, c be three non-zero vectors which are pairwise non-collinea...

    Text Solution

    |