Home
Class 12
MATHS
If the distance between the foci is 2 an...

If the distance between the foci is 2 and the distance between the directrices is 5 , then the equation of the ellipse is

A

`6 x^(2) + 10y^(2) = 5`

B

`6x^(2) + 10y^(2) = 15`

C

`x^(2) + 3y^(2) =10`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Fill in the blanks )|14 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the odd man out : )|5 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise Exercise 5.6|25 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

The distance between the Earth and the Moon is

If the distance between the foci and the distance between the two directricies of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 are in the ratio 3:2, then b : a is (a) 1:sqrt(2) (b) sqrt(3):sqrt(2) (c) 1:2 (d) 2:1

If the distance between the foci and the distance between the two directricies of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 are in the ratio 3:2, then b : a is 1:sqrt(2) (b) sqrt(3):sqrt(2) 1:2 (d) 2:1

The distance between the genes is measured by

The distance between the point (5,-1) and the origin is ………

Find the distance between Venus and Sun.

In the standard ellipse, the lines joining the ends of the minor axis to one focus are at right angles. The distance between the focus and the nearer vertex is sqrt(10) - sqrt(5) . The equation of the ellipse

The distance between x axis and the point (3,12,5) is

The distance between the point (5,-1) and the origin is _____.

SURA PUBLICATION-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -ADDITIONAL QUESTIONS ( MCQ)
  1. If ( 0,4) and (0,2) are the vertex and focus of a parabola then its e...

    Text Solution

    |

  2. The equation of the directrix of the parabola y^(2) + 4y + 4x + 2 =...

    Text Solution

    |

  3. Equation of tangent at (-4,-4) on x^2 = -4y is

    Text Solution

    |

  4. y^(2) -2x -2y + 5 =0 is a

    Text Solution

    |

  5. If a parabolic reflector is 20 cm in diameter and 5 cm deep, then i...

    Text Solution

    |

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

    Text Solution

    |

  7. The length of the latus rectum of the ellipse x^(2)/49 + y^(2)/36 = 1...

    Text Solution

    |

  8. If the distance between the foci is 2 and the distance between the dir...

    Text Solution

    |

  9. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  10. The equation 7x^(2) - 6sqrt3 xy + 13y^(2) - 4sqrt3 - 4y- 12 =0 repres...

    Text Solution

    |

  11. The distance between the foci of a hyperbola is 16 and e = sqrt2 . It...

    Text Solution

    |

  12. If the foci of the ellipse x^(2)/16 + y^(2)/b^(2) =1 and the hyperbo...

    Text Solution

    |

  13. When the eccentricity of a ellipse becomes zero , then it becomes a

    Text Solution

    |

  14. The director circle of the ellispe x^(2)/9 + y^(2)/5 = 1

    Text Solution

    |

  15. The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

    Text Solution

    |

  16. The length of the diameter of a circle with centre (1,2) and passing t...

    Text Solution

    |

  17. If (1,-3) is the centre of the circle x^(2) + y^(2) +ax + by + 9 =0 ...

    Text Solution

    |

  18. If y = 2x + c is a tangent to the circel x^(2) + y^(2) = 5 , then...

    Text Solution

    |