Home
Class 12
MATHS
The eccentricity of an ellipse with cent...

The eccentricity of an ellipse with centre at the origin which meets the straight line `(x)/(7)+(y)/(2)=1` on the axis of x and the straight line `(x)/(3)-(y)/(5)=1` on the axis of y and whose axes lie along the axes of coordinates is

A

`(2 sqrt(6))/(7)`

B

`(3 sqrt(2))/(7)`

C

`(sqrt(6))/(7)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos
  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

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

The incentre of the triangle formed by the axes and the line (x)/(4)+(y)/(3)=1 is

The joint equation of the straight lines x + y = 1 and x - y = 4 is

If a circle, whose centre is (-1,1) touches the straight line x+2y = 12, then the co-ordinates of the point of contact are

A focus of an ellipse is at the origin. The directrix is the line x=4 and the eccentricity is (1)/(2) . Then the length of the semi-major axis is

If the straight lines 2x + 3y - 3 = 0 and x + ky + 7 = 0 are perpendicular then the value of k is

Equation of the plane containing the straight line x/2=y/3=z/4 and perpendicular to the plane containing the straight lines x/3=y/4=z/2 and x/4=y/2=z/3 is :

The area bounded by y^(2) =x^(3) , the y-axis and the lines y=1 and y=2 is

The tangent to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 at the end of the latus rectum, in the second quadrant, meets the coordinate axes at

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The eccentricity of an ellipse with centre at the origin which meets t...

    Text Solution

    |

  5. The equation to the ellipse (referred to its axes as the axes of x and...

    Text Solution

    |

  6. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

    Text Solution

    |

  7. The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |

  8. The angle between the pair of tangents drawn from the point (1,2) to t...

    Text Solution

    |

  9. How many real tangents can be drawn to the ellipse 5 x^(2)+9 y^(2)=32 ...

    Text Solution

    |

  10. If two tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

    Text Solution

    |

  11. The foci of the conic 25 x^(2)+16 y^(2)-150 x=175 are

    Text Solution

    |

  12. The equation of the ellipse whose distance between the foci is equal t...

    Text Solution

    |

  13. The eccentricity of the ellipse x^(2)+4 y^(2)+8 y-2 x+1=0 Is

    Text Solution

    |

  14. The eccentricity of the conic 4 x^(2)+16 y^(2)-24 x-32 y=12 is

    Text Solution

    |

  15. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  16. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

    Text Solution

    |

  17. If theta is a parameter then x=a(sin theta+cos theta) y=b(sin theta-co...

    Text Solution

    |

  18. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

    Text Solution

    |

  19. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

    Text Solution

    |

  20. The product of the perpendiculars drawn from the two foci of an ellips...

    Text Solution

    |