Home
Class 11
MATHS
Find the lengths of the major and the mi...

Find the lengths of the major and the minor axes, the coordinates of the foci, the vertices, the eccentricity, the length of latus rectum and the eqatuion of the directrices of that ellipses : `x^2 + 16y^2 = 16`.

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(15))/(4)`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.1)|15 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.2)|12 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTIONS)|5 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the lengths of the major and the minor axes, the coordinates of the foci, the vertices, the eccentricity, the length of latus rectum and the eqatuion of the directrices of that ellipses : 3x^2 + 2y^2 = 18

Find the lengths of the major and the minor axes, the coordinates of the foci, the vertices, the eccentricity, the length of latus rectum and the eqatuion of the directrices of that ellipses : x^2/169 + y^2/25 = 1

Find the lengths of the major and the minor axes, the coordinates of the foci, the vertices, the eccentricity, the length of latus rectum and the eqatuion of the directrices of that ellipses : x^2/25 + y^2/169 = 1

Find the lengths of major and minor axes,the coordinate of foci, vertices and the eccentricity of the ellipse 3x^(2)+2y^(2)=6 . Also the equation of the directries.

Find the lengths of the major and minor axes, coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the ellipse: 4x^(2)+9y^(2)=144.

Find the lengths of the major and minor axes, coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the ellipse: 4x^(2)+y^(2)=100.

Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola 9y^(2)-4x^(2)=36

Find the lengths of the major and minor axes, coordinates of the vertices and the foci, the eccentricity and length of the latus rectum of the ellipse: x^(2)/4+y^(2)/36 = 1.

Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola 49y^(2)-16x^(2)=784

Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola 16x^(2)-9y^(2)=576

MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Determine whether the following represents a circle , a point or no ci...

    Text Solution

    |

  2. Find the equation of circle whose centre is (1/2, 1/2) and radius is 1...

    Text Solution

    |

  3. Find the parametric equation of the circles : x^2 + y^2 + 2x - 4y - 1 ...

    Text Solution

    |

  4. Show that the point (x, y), where x=a+r cos theta, y = b + r sin theta...

    Text Solution

    |

  5. Find the equation of the circle when the end points of a diameter of t...

    Text Solution

    |

  6. The equation of the parabola with vertex at the origin passing through...

    Text Solution

    |

  7. Find the equation of the parabola with focus at (3, -4) and directrix ...

    Text Solution

    |

  8. Find the lengths of major and minor axes of the ellipse : (x^(2))/(4...

    Text Solution

    |

  9. Find the lengths of the major and the minor axes, the coordinates of t...

    Text Solution

    |

  10. Find the length of the latus -rectum of the ellipse : (x^(2))/(4) + ...

    Text Solution

    |

  11. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |

  12. Find the equation of the ellipse in the following case: eccentricity e...

    Text Solution

    |

  13. Find the eccentricity of an ellipse if its latus rectum is equal to on...

    Text Solution

    |

  14. The eccentricity of the ellipse if the distance between the foc...

    Text Solution

    |

  15. Find the equation of the ellipse whose major axis is 8 and eccentricit...

    Text Solution

    |

  16. Find the equation of the hyperbola having : vertices (0, +-3) and foci...

    Text Solution

    |

  17. Find the equation of the hyperbola with focus at (pm 2, 0) and e = (3...

    Text Solution

    |

  18. Find the equation of the hyperbola with vertices at (0, +- 6) and ecce...

    Text Solution

    |

  19. Find the equation of the hyperbola where foci are (0,+-12)and the leng...

    Text Solution

    |

  20. Find the of the hyperbola passing through the points (2, 1) and (4,3)

    Text Solution

    |