Home
Class 12
MATHS
An ellipse has O B as the semi-minor ...

An ellipse has `O B` as the semi-minor axis, `Fa n dF '` as its foci, and `/_F B F '` a right angle. Then, find the eccentricity of the ellipse.

A

`1/sqrt2`

B

`1/2`

C

`1/4`

D

`1/sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|3 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

An ellipse has OB as the semi-minor axis,F and F' as its foci,and /_FBF' a right angle.Then,find the eccentricity of the ellipse.

B is extermity of the minor axis of an elipse whose foci are S and S'. If angle SBS' is a right angle, then the eccfentricity of the ellipse is

If OB is the semi-minor axis of an ellipse, F_1 and F_2 are its foci and the angle between F_1B and F_2B is a right angle, then the square of the eccentricity of the ellipse is

If the lines joining the foci of an ellipse to an end of its minor axis are at right angles , then the eccentricity of the ellipse is e =

Let S and s' be the foci of an ellipse and B be one end of its minor axis . If SBS' is a isosceles right angled triangle then the eccentricity of the ellipse is

If the length of the minor axis of an ellipse is equal to half of the distance between the foci then the eccentricity of the ellipse is

Pa n dQ are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is an end of the minor axis. If P B Q is an equilateral triangle, then the eccentricity of the ellipse is 1/(sqrt(2)) (b) 1/3 (d) 1/2 (d) (sqrt(3))/2

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The muinimum area of the triangle formed by the tangent to (x^(2))/(a...

    Text Solution

    |

  2. Find the equation of the common tangent in the 1st quadrant to the cir...

    Text Solution

    |

  3. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  4. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  5. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

  6. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  7. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  8. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  9. a triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  10. The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2)))...

    Text Solution

    |

  11. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  12. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  14. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

    Text Solution

    |

  15. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  16. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  17. Statement 1: An equation of a common tangent to the parabola y^2=16...

    Text Solution

    |

  18. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

    Text Solution

    |

  19. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  20. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |