Home
Class 12
MATHS
Equation of the ellipse whose axes are t...

Equation of the ellipse whose axes are the axes of co-ordinates and which passes through the point `(-3,1)` and has eccentricity `sqrt(2//5)` is :

A

`5 x^(2)+3 y^(2)-32=0`

B

`3 x^(2)+5 y^(2)-32=0`

C

`5 x^(2)+3 y^(2)-48=0`

D

`3 x^(2)+5 y^(2)-15=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

The eceentricity of the ellipse whose axes are the coordinate axes and which passes through the points (2,2) and (3,1) is

Find the equation of the ellipse, with major axis along the x-axis and passing through the points (4,3) and (-1,4)

Equation of the parabola whose axis is parallel to Y- axis and which passes through the point (1,0),(0,0)and (-2,4) , is

Find the radius of a circle whose centre is (-5,4) and which passes through the point (-7,1)

Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3) .

Find the equation of the ellipse whose centre is at the origin and major axis along x-axis and passing through the points (-3,1) and (2, -2) .

The equation of the parabola whose vertex is (2,-1), axis is vertical and passing through the point (4,-3) is

Find the equation of a line which passes through the point (2,3,4) and which has equal intercepts on the axes.

Find the equation of the ellipse whose axes are parallel to the coordinate axes having its centre at the point (2,-3) one focus at (3,-3) and vertex at (4,-3)dot

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

    Text Solution

    |

  2. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

    Text Solution

    |

  3. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

    Text Solution

    |

  4. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

    Text Solution

    |

  5. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

    Text Solution

    |

  6. The eccentricity of an ellipse with centre at the origin which meets t...

    Text Solution

    |

  7. The equation to the ellipse (referred to its axes as the axes of x and...

    Text Solution

    |

  8. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

    Text Solution

    |

  9. The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |

  10. The angle between the pair of tangents drawn from the point (1,2) to t...

    Text Solution

    |

  11. How many real tangents can be drawn to the ellipse 5 x^(2)+9 y^(2)=32 ...

    Text Solution

    |

  12. If two tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

    Text Solution

    |

  13. The foci of the conic 25 x^(2)+16 y^(2)-150 x=175 are

    Text Solution

    |

  14. The equation of the ellipse whose distance between the foci is equal t...

    Text Solution

    |

  15. The eccentricity of the ellipse x^(2)+4 y^(2)+8 y-2 x+1=0 Is

    Text Solution

    |

  16. The eccentricity of the conic 4 x^(2)+16 y^(2)-24 x-32 y=12 is

    Text Solution

    |

  17. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  18. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

    Text Solution

    |

  19. If theta is a parameter then x=a(sin theta+cos theta) y=b(sin theta-co...

    Text Solution

    |

  20. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

    Text Solution

    |