Home
Class 12
MATHS
The eccentricity of the ellipse 9x^(2)+5...

The eccentricity of the ellipse `9x^(2)+5y^(2)-54x-40y+116=0` is:

A

`(2)/(3)`

B

`(3)/(2)`

C

`(1)/(2)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.6|25 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

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

The eccentricity of the ellipse 9x^2+25 y^2-18 x-100 y-116=0 is 25//16 b. 4//5 c. 16//25 d. 5//4

The eccentricity of the ellipse 16x^2 + 25y^2 = 400 is

The eccentricity of the ellipse 16x^(2)+25y^(2)=400 is ……………… .

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

Find the center, foci, the length of the axes, and the eccentricity of the ellipse 2x^2+3y^2-4x-12 y+13=0

The eccentricity of the ellispse (x -3)^(2) + ( y-4)^(2) = y^(2)/9 is

If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. The latus rectum of the parabola y^(2)-4x+4y+8=0 is:

    Text Solution

    |

  2. The point of contact of the tangent 2x+3y+9=0 to the parabola y^(2)=8x...

    Text Solution

    |

  3. The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

    Text Solution

    |

  4. The area of the directrix circle of the ellipse (x^(2))/(16)+(y^(2))/(...

    Text Solution

    |

  5. If the length of the latus rectum is half the length of the conjucate ...

    Text Solution

    |

  6. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  7. The equation of the tangent to the parabola y^(2)=16x inclined at 60^(...

    Text Solution

    |

  8. The equation of conic with focus (-2,1) and directrix 3x-y+2=0 is:

    Text Solution

    |

  9. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 has the points A and B a...

    Text Solution

    |

  10. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

    Text Solution

    |

  11. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

  12. If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

    Text Solution

    |

  13. The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

    Text Solution

    |

  14. The eccentricity of the ellipse for which the distance between the dir...

    Text Solution

    |

  15. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

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

    Text Solution

    |

  17. The tangents at the points t(1) and t(2) on the parabola y^(2)=4ax are...

    Text Solution

    |

  18. The equation of normal at (-3,4) to the circle x^(2)+y^(2)=25 is 4x+3y...

    Text Solution

    |

  19. The equation of the ellipse with foci (pm2,0) vertices (pm3,0) is:

    Text Solution

    |

  20. Identify the type of the conic 3x^(2)-8y^(2)-15x-18y-29=0

    Text Solution

    |