Home
Class 12
MATHS
the foci of an ellipse are (0+-6) an...

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

A

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

B

`2x^(2)-6y=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

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

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.

Foci are (0, pm 3), e = 3/4 , equation of the ellipse is

If the lengths of major and semi-minor axes of an ellipse are 4 and sqrt3 and their corresponding equations are y - 5 = 0 and x + 3 = 0, then the equation of the ellipse, is

The foci of an ellipse coincide with foci of the hyperbola 3x^(2)-y^(2)=12 . Find the equation of the ellipse, if its eccentricity is (4)/(5) .

If the lengths of semi major and semi minor axes of an ellipse are 2 and sqrt(3) and their corresponding equation are y-5=0\ a n d\ x+3=0 then write the equation of the ellipse.

An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The eccentricity of the ellipse is reciprocal to that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then (a) the foci of ellipse are (+-1, 0) (b) equation of ellipse is x^2+ 2y^2 =2 (c) the foci of ellipse are (+-sqrt 2, 0) (d) equation of ellipse is (x^2 +y^2 =4)

If the focal distance of one ed of minor axis of an ellipse is k and distance betwnn foci is 2h then find the equation of the ellipse.

Show that x^2+4y^2-2x+16 y+13=0 is the equation of an ellipse. Find its eccentricity, vertices, foci, directices and , the length and the equation of the latus-rectum.

If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricity is 5/6 then the equation of the ellipse is

if 2y = x and 3y + 4x=0 are the equations of a pair of conjugate diameters of an ellipse , then the eccentricity of the ellipse , is

OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Exercise
  1. the eccentricity to the conic 4x^(2) +16y^(2)-24x-32y=1 is

    Text Solution

    |

  2. A set of points is such that each point is three times as far away fro...

    Text Solution

    |

  3. the foci of an ellipse are (0+-6) and the equation of the direc...

    Text Solution

    |

  4. An ellipse has its centre at (1,-1) and semi major axis =8 and it pass...

    Text Solution

    |

  5. Let L L ' be the latusrectum and S be a focus of the ellipse (x^...

    Text Solution

    |

  6. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

    Text Solution

    |

  7. the equations to the directrices of the ellipse 4(x-3)^(2)+9(y+2)...

    Text Solution

    |

  8. if the vertices of an ellipse are (-12,4) and (14,4) and eccentr...

    Text Solution

    |

  9. if the coordinates of the vertices of an ellipse are (-6,1) and (...

    Text Solution

    |

  10. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

    Text Solution

    |

  11. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the foci of the ellipse 25(x+1)^2+9(y+2)^2=225.

    Text Solution

    |

  14. if the coordinates of the centre , a foucs and adjacent vertex ...

    Text Solution

    |

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

    Text Solution

    |

  16. A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=...

    Text Solution

    |

  17. The equation of the chord of the ellipse 2x^2+ 5y^2 =20 which is bisec...

    Text Solution

    |

  18. AB is a diameter of x^2 + 9y^2=25. The eccentric angle of A is pi/6 ...

    Text Solution

    |

  19. if one end of a diameter of the ellipse 4x^(2)+y^(2)=16 is (sqrt...

    Text Solution

    |

  20. the equation of a diameter conjugate to a diameter y=(b)/(a)x of ...

    Text Solution

    |