Home
Class 12
MATHS
B is an extremity of the minor axis of a...

B is an extremity of the minor axis of an ellipse whose foci are S and S'. If `angleSBS'` is a right angle, then the eccentricity of the ellipse is

A

`(1)/(2)`

B

`(1)/(sqrt(2))`

C

`(2)/(3)`

D

`(1)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos
  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

An ellipse has OB as a semi-minor axis, F and F' are its two foci and the angle FBF' is a right angle. Find the eccentricity of the ellipse.

S and T are the foci of an ellipse and B is the end point of the minor axis. If STB is equilateral triangle, the eccentricity of the ellipse is

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

If the length of the minor axis of an ellipse is equal to the distance between their foci, then eccntricity of the ellipse is _

If the angle between the lines joining the end points of minor axis of an elipes with its one focus is pi/2, 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

Prove tha the major axis of an ellipse is greater than its minor axis.

If alpha and beta are the eccentric angles of the extremities of a focal chord of an ellipse, then prove that the eccentricity of the ellipse is (sinalpha+sinbeta)/("sin"(alpha+beta))

Prove that the major axis of an ellipse is greater than its minor aixs.

The tangent at the point theta on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , meets its auxiliary circle at two points whose join subtends a right angle at the centre, show that the eccentricity of the ellipse is given by, (1)/(e^(2))=1+sin^(2)theta

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. The locus of the mid-points of the chords of the circle x^(2)+y^(2)+2x...

    Text Solution

    |

  2. Let P be the foot of the perpendicular from focus S of hyperbola (x^(2...

    Text Solution

    |

  3. B is an extremity of the minor axis of an ellipse whose foci are S and...

    Text Solution

    |

  4. The axis of the parabola x^(2)+2xy+y^(2)-5x+5y-5=0 is

    Text Solution

    |

  5. The line segment joining the foci of the hyperbola x^(2)-y^(2)+1=0 is ...

    Text Solution

    |

  6. The equation of the plane through (1,2,-3) and (2,-2,1) and parallel t...

    Text Solution

    |

  7. Three lines are drawn from the origin O with direction cosines proport...

    Text Solution

    |

  8. Consider the non-constant differentiable function f of the one variabl...

    Text Solution

    |

  9. If f(x)=log(5)log(3)x, then f'(e ) is equal to

    Text Solution

    |

  10. Let F(x)=e^(x),G(x)=e^(-x) and H(x)=G(F(x)), where x is a real variabl...

    Text Solution

    |

  11. If f''(0)=k,kne0 then the value of lim(xrarr0)(2f(x)-3f(2x)+f(4x))/(x^...

    Text Solution

    |

  12. If y=e^(msin^(-1)x), then (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-ky=0. ...

    Text Solution

    |

  13. The chord of the curve y=x^(2)+2ax+b. Joining the points where x=alpha...

    Text Solution

    |

  14. Let f(x)=x^(13)+x^(11)+x^(9)+x^(7)+x^(5)+x^(3)+x+19. Then f(x)=0 has

    Text Solution

    |

  15. Let f(x)={{:(x^(p)/((sinx)^(q))" , if "0ltxle(x)/(2)),(" 0 ,...

    Text Solution

    |

  16. lim(xrarr0)(sinx)^(2tanx)

    Text Solution

    |

  17. intcos(logx)dx=F(x)+c, where c is an arbitrary constant. Here F(x) =

    Text Solution

    |

  18. int(x^(2)-1)/(x^(4)+3x^(2)+1)dx(xgt0) is

    Text Solution

    |

  19. Let l=int(10)^(19)(sinx)/(1+x^(8))dx. Then.

    Text Solution

    |

  20. Let l(1)=int(n)^(n)[x]dxandI(2)=int(0)^(n)|x|dx, where [x] and |x| are...

    Text Solution

    |