Home
Class 12
MATHS
An ellipse is incribed in a rectangle an...

An ellipse is incribed in a rectangle and if the angle between the diagonals is `tan ^(-1) 2sqrt2 ` then e=

A

`( 1)/(sqrt3) `

B

` (1)/(3) `

C

` (1)/(sqrt2) `

D

` (1)/(2) `

Text Solution

Verified by Experts

The correct Answer is:
C
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

Angle between the diagonals of a rhombus is

The angle between any two diagonals of a cube is

An ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(agtb) is inscribed in a rectangle of dimensilons 2a and 2b respectively, If the angle between the diagonals of the rectangle is tan^(-1)(4sqrt3) , then the eccentricity of that ellipse is

In a rectangle, if the angle between a diagonal and a side is 30^(@) , and the length of the diagonal is 6 cm, the area of the rectangle is

Angle between a diagonal of a cube with edge of lenth 1 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 theta is the angle between the curves y=x^2,x=y^2 at (1,1), than tan theta =

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. If the length of the semi major axis of an ellipse is 68 and eccentric...

    Text Solution

    |

  2. A square is inscribed inside the ellipse (x^(2))/( a^(2)) +(y^(2))/( b...

    Text Solution

    |

  3. An ellipse is incribed in a rectangle and if the angle between the dia...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

    Text Solution

    |

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

    Text Solution

    |