Home
Class 12
MATHS
If a line (x)/(8)+(y)/(5)=1 meets the el...

If a line `(x)/(8)+(y)/(5)=1` meets the ellipse on x - axis and the line `(x)/(3)+(y)/(4) =1` meets the ellipse on y - axis then its eccentricity

A

`(1)/sqrt(2)`

B

`sqrt(2/3)`

C

`sqrt(3/4)`

D

`sqrt(4/5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|34 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

The equation of the minor axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2)/(4)=1 is

The equation of the major axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2)/(4)=1 is

Find the points on the x-axis, whose distances from the line x/3 + y/4 = 1 are 4 units.

Axes are co-ordinate axes, the ellipse passes through the points where the straight line (x)/(4)+(y)/(3)=1 meets the cood axes. Then equation of the ellipse is

If the line (x/2+y/3-1)+lamda(2x+y-1)=0 is parallel to x-axis then lamda=

The length of the major axis of the ellipse (x-3)^(2)/4+(y-2)^(2)/9=1 is

If the major axis of an ellipse lies on the Y-axis, its minor axis lies on the X-axis and the length of its latusrectum is equal to 2/3 of its minor axis, then the eccentricity of that ellipse is

The smaller area between the ellipse (x^(2))/(9)+(y^(2))/(16)=1 at the line (x)/(3)+(y)/(4)=1 is

AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The eccentricity of the ellipse (x-1)^(2)/(16)+(y-2)^(2)/(9)=1 is

    Text Solution

    |

  2. The eccentricity of the ellipse 9x^(2)+25y^(2)-18x-100y+20=0 is

    Text Solution

    |

  3. If a line (x)/(8)+(y)/(5)=1 meets the ellipse on x - axis and the lin...

    Text Solution

    |

  4. If the length of the major axis is n times the minor axis of the ellip...

    Text Solution

    |

  5. The distance between the foci of an ellipse is equal to half of its mi...

    Text Solution

    |

  6. If the minor axis of an ellipse subtends an angle 60^(@) at each focu...

    Text Solution

    |

  7. The eccentricity of an ellipse i s sqrt(3)/(2) its length of latus r...

    Text Solution

    |

  8. If e(1) and e(2) are the eccentricites of (x^(2))/(a^(2))+(y^(2))/(b...

    Text Solution

    |

  9. The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the ...

    Text Solution

    |

  10. If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then ...

    Text Solution

    |

  11. The values that m can take so that the straight line y=4x+m touches th...

    Text Solution

    |

  12. The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an a...

    Text Solution

    |

  13. The equations of the tangents to the ellipse 4x^(2)+3y^(2)=5 which are...

    Text Solution

    |

  14. The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

    Text Solution

    |

  15. The number of tangents to (x^(2))/(9)+(y^(2))/(4)=1 through (3,2) is

    Text Solution

    |

  16. The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2...

    Text Solution

    |

  17. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  18. Angle between the tangents drawn from the point (5,4) to the ellipse ...

    Text Solution

    |

  19. The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20...

    Text Solution

    |

  20. The equation to the auxiliary circle of (x^(2))/(7)+(y^(2))/(5)=1 is

    Text Solution

    |