Home
Class 12
MATHS
If (5, 12) and (24, 7) are the focii of ...

If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), then the eccentricity of the ellipse is

A

`sqrt(386)/(38)`

B

`sqrt(386)/(45)`

C

`sqrt(386)/(25)`

D

`sqrt(386)/(20)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-I|52 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

If (5,12), (24,7) are the foci of the hyperbola passing through origin, then its eccentricity is

Passing through (0, 0) with slope m.

The eccentricity of the ellipse 5x^(2)+9y^(2)=1 is

The circle passing through (0,0),(a,0), (0,b) is

If origin is the centre, X-axis is the major axis and sqrt((2)/(5)) is the eccentricity of an ellips which passes through (-3,1) then the equation of that ellipse is

The slope of the line passing through (0,0 and (3,4) is

An ellipse has OB as semiminor axis, F and F^' its focii and the angle FBF^(') is a right angle. Then the eccentricity of the ellipse is

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

S (3, 4) and S^(') (9, 12) are the focii of an ellipse and the foot of the perpendicular from S to a tangent to the ellipse is (1, -4). Then the eccentricity of the ellipse is

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. A circle is described with minor axis of an ellipse as a diameter. If ...

    Text Solution

    |

  2. The eccentricity of the ellipse given by the locus of the point P(x, y...

    Text Solution

    |

  3. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

    Text Solution

    |

  4. If S and S^(1) are the foci BB^(1) is the minor axis such that Ang(SBS...

    Text Solution

    |

  5. The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

    Text Solution

    |

  6. The eccentricity of the ellipse 9x^(2) + 5y^(2) - 18x - 2y - 16 = 0 is

    Text Solution

    |

  7. In an ellipse the distance between the foci is 6 and it's minor axis i...

    Text Solution

    |

  8. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

    Text Solution

    |

  9. The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(...

    Text Solution

    |

  10. Statement-I : The sum of the slopes of the tangents drawn from (5,4) ...

    Text Solution

    |

  11. C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...

    Text Solution

    |

  12. Statement-I : The distance of the normal to x^(2) + 2y^(2) = 5 at (1,s...

    Text Solution

    |

  13. The product of the perpendicular distances drawn from the foci to any ...

    Text Solution

    |

  14. The angle between the tangents drawn from the point (1,2) to the ellip...

    Text Solution

    |

  15. If the chords of contact of P(x(1),y(1)) and Q(x(2),y(2)) w.r.t the el...

    Text Solution

    |

  16. The mid point of the chord 2x+5y=12 of the ellipse 4x^(2) + 5y^(2) = 2...

    Text Solution

    |

  17. If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2) = 20 in ...

    Text Solution

    |

  18. The midpoint of a chord of the ellipse x^(2)+4y^(2)-2x+20y=0 is (2, -4...

    Text Solution

    |

  19. The ratio of the ordinates of a point and its .corresponding point is(...

    Text Solution

    |

  20. If the extremities of a focal chord are (5pi)/(12) and (pi)/(12) then...

    Text Solution

    |