Home
Class 11
MATHS
If (5, 12) and (24, 7) are the foci of a...

If (5, 12) and (24, 7) are the foci of an ellipse passing through the origin, then find the eccentricity of the ellipse.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 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

If the normal at an end of a latus rectaum of an ellipse passes through an extremity of the minor axis then the eccentricity of the ellispe satisfies .

If the distance between the foci of an ellipse is 8 and length of latus rectum is 18/5, then the eccentricity of ellipse is:

Find the equation of the ellipse whose foci are at (-2, 4) and (4, 4) and major and minor axes are 10 and 8 respectively. Also, find the eccentricity of the ellipse.

The distance between the foci of an ellipse is equal to half of its minor axis then eccentricity is

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

An ellipse has O B as the semi-minor axis, F and F ' as its foci, and /_F B F ' a right angle. Then, find the eccentricity of the ellipse.

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length, then find the equation of the ellipse. The axes of ellipse are the coordinate axes.

If the eccentricity of an ellipse is 5/8 and the distance between its foci is 10 , then find the latusrectum of the ellipse.

If the eccentricity of an ellipse is 5/8 and the distance between its foci is 10 , then find the latusrectum of the ellipse.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

    Text Solution

    |

  2. Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 to...

    Text Solution

    |

  3. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

    Text Solution

    |

  4. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

    Text Solution

    |

  5. If any line perpendicular to the transverse axis cuts the hyperbola (x...

    Text Solution

    |

  6. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

  7. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

    Text Solution

    |

  8. A normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

    Text Solution

    |

  9. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  10. The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...

    Text Solution

    |

  11. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  12. The coordinates of the vertices Ba n dC of a triangle A B C are (2,...

    Text Solution

    |

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

    Text Solution

    |

  14. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  15. Find the condition on a and b for which two distinct chords of the hyp...

    Text Solution

    |

  16. The point of intersection of the tangents at the point P on the ellip...

    Text Solution

    |

  17. Find the equation of the ellipse (referred to its axes as the axes o...

    Text Solution

    |

  18. Tangents are drawn to the ellipse x^2/a^2+y^2/b^2=1 at two points who...

    Text Solution

    |

  19. The sum of the squares of the perpendiculars on any tangents to the ...

    Text Solution

    |

  20. A rod of length 12 cm moves with its ends always touching the coord...

    Text Solution

    |