Home
Class 11
MATHS
The eccentricity of the ellipse4x^2 + 9y...

The eccentricity of the ellipse`4x^2 + 9y^2 = 36` is :

A

`1/(2 sqrt3)`

B

`1/(sqrt3)`

C

`sqrt 5/3`

D

`sqrt 5/6` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinate of the foci, the vertices, the lengths of major and minor axes and eccentricity of the ellipse 9x^(2) + 4y^(2) = 36 .

The eccentricity of the hyperbola 4x^(2)-9y^(2)=36 is :

The eccentricity of the conic 4x^2-9y^2=2 is :

If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = 45 and the hyperbola 5x^(2) - 4y^(2) = 45 respectively , then ee' is equal to

The eccentricity of the ellipse x^2/a^2+y^2/b^2=1 , if its latus rectum is half of its minor axis, is :

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.

The eccentricity of the ellipse : x^2+4y^2+8y-2x+1=0 is :

In the following, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. 4x^2 + 9y^2 = 36

The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axis is parallel to x-axis is

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The equation x^(2)+3y^(2)-9x+2y+1=0 represents

    Text Solution

    |

  2. A bridge is in the shape of a semi-ellipse. It is 400 metres One and h...

    Text Solution

    |

  3. The eccentricity of the ellipse4x^2 + 9y^2 = 36 is :

    Text Solution

    |

  4. The foci of the ellipse 9x^2 +4y^2 =36 are

    Text Solution

    |

  5. The foci of the ellipse 25(x+1)^2 + 9(y+2)^2 = 225, are at :

    Text Solution

    |

  6. The lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 are perpendicular ...

    Text Solution

    |

  7. The equation of straight line passing through the point (2, 3) and per...

    Text Solution

    |

  8. The equations y=x sqrt3, y =1 are the sides of :

    Text Solution

    |

  9. If a,b,c are in AP then ax + by + c = 0 represents

    Text Solution

    |

  10. The coordinates of the foot of the perpendicular from (2,3) to the lin...

    Text Solution

    |

  11. Find the orthocentre of the triangle formed by the lines xy = 0 and x+...

    Text Solution

    |

  12. If the sum of the distances of a variable point from two perpendicular...

    Text Solution

    |

  13. Point Q is symmetric to P (4, -1) with respect to the bisector of the ...

    Text Solution

    |

  14. The radius of the circle, which is touched by the line y= x and has it...

    Text Solution

    |

  15. Tangents drawn from the point (4, 3) to the circle x^2+y^2-2x-4y=0 are...

    Text Solution

    |

  16. If l denotes the semi-latus rectum of the parabola y^2= 4ax and SP and...

    Text Solution

    |

  17. The eccentricity of the ellipse : x^2+4y^2+8y-2x+1=0 is :

    Text Solution

    |

  18. The equation of the tangent parallel to y=x drawn to x^2/3-y^2/2 =1 is...

    Text Solution

    |

  19. A line through the point A (2, 0), which makes an angle of 30^@ with t...

    Text Solution

    |

  20. The total number of tangents through the point (3, 5) that can be draw...

    Text Solution

    |