Home
Class 12
MATHS
If (-4, 3) and (8, 3) are the vertices o...

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

A

`((x - 2)^(2))/(11) + ((y - 3)^(2))/(36) = 1`

B

`((x - 2)^(2))/(36) + ((y - 3)^(2))/(11) = 1`

C

`((x - 3)^(2))/(36) + ((y - 2)^(2))/(11) = 1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Exercise|82 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

if the vertices of an ellipse are (-12,4) and (14,4) and eccentricity 12/13 , then the equation of the ellipse ,is

The length of the latusrectum of an ellipse is (18)/(5) and eccentricity is (4)/(5) , then equation of the ellipse is . .

The equation of an ellipse whose eccentricity is 1/2 andthe vertices are (4,0) and (10,0) is

Find the equation of an ellipse whose eccentricity is 2/3, the latus rectum is 5 and the centre is at the origin.

If F_1 (-3, 4) and F_2 (2, 5) are the foci of an ellipse passing through the origin, then the eccentricity of the ellipse is

if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord then the equation of the ellipse is

Find the equation of the ellipse whose eccentricity is 1/2, the focus is (1,1) and the directrix is x-y+3=0

Find the equation of an ellipse whose eccentricity is (3)/(5) and co-ordinates of foci are (0, pm6) .

The eccentricity of an ellipse, with centre at the origin is 2/3. If one of directrices is x = 6, then equation of the ellipse is

Order of the differential equation of family of ellipses whose eccentricity is known,is

OBJECTIVE RD SHARMA-ELLIPSE-Chapter Test
  1. If the length of the latusrectum of the ellipse x^(2) tan^(2) theta + ...

    Text Solution

    |

  2. if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord t...

    Text Solution

    |

  3. If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricit...

    Text Solution

    |

  4. The area of the triangle formed by three points on the ellipse x^2/a^2...

    Text Solution

    |

  5. If the chord joining points P(alpha)a n dQ(beta) on the ellipse ((x...

    Text Solution

    |

  6. If P(alpha,beta) is appoint on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

    Text Solution

    |

  7. The tangent at any point P on the ellipse meets the tangents at the ve...

    Text Solution

    |

  8. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

    Text Solution

    |

  9. The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y...

    Text Solution

    |

  10. The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^...

    Text Solution

    |

  11. The locus of points whose polars with respect to the ellipse x^(2)/a^(...

    Text Solution

    |

  12. if the chord of contact of tangents from a point P to the hyperbola x...

    Text Solution

    |

  13. The locus of the poles of tangents to the auxiliary circle with respec...

    Text Solution

    |

  14. The locus of the poles of tangents to the director circle of the ellip...

    Text Solution

    |

  15. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

    Text Solution

    |

  16. If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes inte...

    Text Solution

    |

  17. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

    Text Solution

    |

  18. If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the no...

    Text Solution

    |

  19. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

    Text Solution

    |

  20. If a tangent to the ellipse x^2/a^2+y^2/b^2=1, whose centre is C, me...

    Text Solution

    |