Home
Class 12
MATHS
The equation of the ellipse whose axes a...

The equation of the ellipse whose axes are along the coordinate axes, vertices are `(0, +- 10)` and eccentricity `e = 4/5`

A

`25x^2 + 9y^2 = 900`

B

`9x^2 + 25y^2 = 900`

C

`5x^2 + 3y^2 = 90`

D

`3x^2 + 5y^2 = 90`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - PARABOLA|19 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos
  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos

Similar Questions

Explore conceptually related problems

Find the equation of an ellipse whose axes are the x-and y-axis and whose one focus is at (4,0) and eccentricity is 4/5.

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3,""1) and has eccentricity sqrt(2/5) is: (1) 3x^2+""5y^2-32""=""0 (2) 5x^2+""3y^2-48""=""0 (3) 3x^2+""5y^2-15""=""0 (4) 5x^2+""3y^2-32""=""0

The equation of the ellipse whose axes are coincident with the coordinates axes and which touches the straight lines 3x-2y-20=0 and x+6y-20=0 is (a) (x^2)/(40)+(y^2)/(10)=1 (b) (x^2)/5+(y^2)/8=1 (c) (x^2)/(10)+(y^2)/(40)=1 (d) (x^2)/(40)+(y^2)/(30)=1

Find the equation of the ellipse whose one of the foci is (2,0) and the corresponding directrix is x = 8 and eccentricity is (1)/(2) .

Find the equation of the ellipse whose vertices are (+-13,0) and foci are (+-5,0)

Find the equation of the ellipse whose axes are of length 6 and 2sqrt(6) and their equations are x-3y+3=0 and 3x+y-1=0 , respectively.

Find the equation of the ellipse (referred to its axes as the axes of xa n dy , respectively) whose foci are (+-2,0) and eccentricity is 1/2

The equation of a straight line through (2,1) with equal intercepts on the coordinate axes is :

Find the equation of the hyperbola whose vertices are (0 , -+7) and e = 4/3

Find the equation of the line whose intercepts on the x and y axes are given below. -5, (3)/(4)

NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - ELLIPSE
  1. The eccentricity of the ellipse 16x^2 + 25y^2 = 400 is

    Text Solution

    |

  2. The equation of the ellipse whose axes are along the coordinate axes, ...

    Text Solution

    |

  3. The foci of an ellipse are (+- 2,0) and its eccentricity is 1/2 then t...

    Text Solution

    |

  4. If the length of latus rectum is 5/2 and eccentricity is 1/2, then the...

    Text Solution

    |

  5. The line y = 2x + c touches the ellipse (x^2)/(16) + (y^2)/(4) = 1 if ...

    Text Solution

    |

  6. The sum of distance of any point on the ellipse 3x^2 + 4y^2 = 24 from ...

    Text Solution

    |

  7. The equation(x^2)/(2 - r) + (y^2)/(r - 5) + 1 = 0 represent an ellipse...

    Text Solution

    |

  8. Sum of the focal distance of the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1...

    Text Solution

    |

  9. The radius of the circle passing throgh the foci of the ellipse (x^2)/...

    Text Solution

    |

  10. The eccentricity of an ellipse with its centre at the origin is 1/2. I...

    Text Solution

    |

  11. The maximum area of an isosceles triangle inscribed in the ellipse (x^...

    Text Solution

    |

  12. The ellipse with foci at (0,1) , (0,4) and one vertex at the origin is

    Text Solution

    |

  13. The euqaiton of the conic with focus (2,-1) directrix x - y = 0 and ec...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the vertices, foci for the hyperbola 9x^(2)-16y^(2)=144.

    Text Solution

    |

  16. S and T are the foci of an ellipse and B is an end point of the minor ...

    Text Solution

    |

  17. The angle between the lines joining the foci of an ellipse to an extre...

    Text Solution

    |

  18. The centre of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0

    Text Solution

    |