Home
Class 12
MATHS
Let S and S^(1) be the foci of an elli...

Let S and `S^(1) ` be the foci of an ellipse . At any point P on the ellipse if ` SPS^(1) lt 90 ^(@) ` then its eccentricity :

A

` e gt (1)/(sqrt2) `

B

` e lt (1)/(sqrt2)`

C

` e= (1)/(sqrt2)`

D

` e= (1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos
  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos
  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

Let S, S^(') are the focii and BB^(') be the minor axis of an ellipse. If angleBSS^(')=theta then its eccentricity is

S and S^(1) foci of an ellipse. B is one end of the minor axis. If I. SBS^(1) is a right angled isoscles triangle, then e =

S and T are the foci of an ellipse and B is one end of the minor axis. IF STB is an equilateral traingle , then find the eccentricity of the ellipse.

S (3, 4) and S^(') (9, 12) are the focii of an ellipse and the foot of the perpendicular from S to a tangent to the ellipse is (1, -4). Then the eccentricity of the ellipse is

The circle on SS^' as diameter intersects the ellipse in real points then its eccentricity

In an ellipse the distance between the foci is 6 and it's minor axis is 8. Then its eccentricity is

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. An ellipse is incribed in a rectangle and if the angle between the dia...

    Text Solution

    |

  2. The circle on SS^' as diameter intersects the ellipse in real points t...

    Text Solution

    |

  3. Let S and S^(1) be the foci of an ellipse . At any point P on the el...

    Text Solution

    |

  4. The angle of inclination of the chord joining the ends of major axis a...

    Text Solution

    |

  5. x^(2) +4y^(2) +2x +16y +k=0 represents an ellipse with ecentricity (...

    Text Solution

    |

  6. A conic has latus rectum length 1, focus at (2,3) and the correspondi...

    Text Solution

    |

  7. The total number of real tangents that can be drawn to the ellipse 3x^...

    Text Solution

    |

  8. A tangent is drawn to the ellipse (x^(2))/( 27 ) +y^(2) =1 at the poi...

    Text Solution

    |

  9. The set of values of 'a' for which (13 x-1 ) ^(2) + (13y -2) ^(2) =a...

    Text Solution

    |

  10. A, A^(1) are the vertices , S, S^(1) are the foci of an ellipse . T...

    Text Solution

    |

  11. The point P( (pi )/(4)) lie on the ellipse (x^(2))/( 4) +( y^(2))/(2...

    Text Solution

    |

  12. P is a point on the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 with ...

    Text Solution

    |

  13. The normal at a poitn P( theta) on the ellipse 5x^(2) +14y^(2) =70 ...

    Text Solution

    |

  14. The major axis of an ellipse is y =x and one vertex is at origin , the...

    Text Solution

    |

  15. In a model. It is shown that an arch of abridge is semi-elliptical wit...

    Text Solution

    |

  16. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

    Text Solution

    |

  17. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

    Text Solution

    |

  18. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

    Text Solution

    |

  19. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

    Text Solution

    |

  20. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

    Text Solution

    |