Home
Class 12
MATHS
The eccentricity of the ellipse with cen...

The eccentricity of the 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

`(1)/sqrt(2)`

B

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

C

`sqrt(3)/(7)`

D

`sqrt(5)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos
  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos
  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse which meets the straight line (x)/(7)+(y)/(2)1 on the x -axis and the straight line (x)/(3)-(y)/(5)=1 on the y -axis and whose axis lie along the axis of coordinate

The eccentricity of the ellipse which meets the straight line (x)/(7)+(y)/(2)=1 on the -axis and (x)/(3)-(y)/(5)=1 on the y -axis and whos axis lie along the axes of coordinates is

The eccentricity of the ellipse which meets the straight line (x)/(7)+(y)/(2)=1 on the -axis and (x)/(3)-(y)/(5)=1 on the y -axis and whos axis lie along the axes of coordinates is

The eccentricity of the ellipse which meets the straight line (x)/(7)+(y)/(2)=1 on the -axis and (x)/(3)-(y)/(5)=1 on the y -axis and whos axis lie along the axes of coordinates is

An ellipse meets the line x/7 + y/2 = 1 on the X-axis, and the line x/3-y/5 = 1 on the Y-axis. If its principle axes lie along the co-ordinate axes , find its eccentricity.

The eccentricity of an ellipse with centre at the orgin and axes along the coordinate axes , is 1/2 if one of the directrices is x=4, the equation of the ellipse is

The eccentricity of the ellipse whose axes are coincident with the co-ordinate axes and which touches the straight line 3x-2y-20=0 and x+6y-20=0 is

If the straight line 3x+4y=24 intersects the axes at A and B and the straight line 4x+3y=24 at C and D then the points A,B., D lie on

Find the equations the straight lines which go through the origin and trisect the portion of the straight line 3x+y=12 which is intercepted beteen the axes of coordinates.

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. The eccentricity of the ellipse with centre at the origin which meets ...

    Text Solution

    |

  2. The locus of the points of intersectino of the tangents at the extremi...

    Text Solution

    |

  3. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

    Text Solution

    |

  7. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  8. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

    Text Solution

    |

  9. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  10. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  11. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  12. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  13. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

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

    Text Solution

    |

  15. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  16. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  17. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  18. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  19. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

  20. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  21. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |