Home
Class 12
MATHS
S and T are the foci of the ellipse x^2/...

`S` and `T `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 `STB` is an equilateral triangle, the eccentricity of the ellipse is `e` then find value of `4e`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

If the minor axis of an ellipse forms an equilateral triangle with one vertex of the ellipse then e=

Knowledge Check

  • S and T 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 STB is equilateral triangle, then eccentricity of the ellipse is

    A
    `1/4`
    B
    `1/3`
    C
    `1/2`
    D
    `sqrt(3/2)`

  • Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)) = 1 and be an end of the minor axis. If STB is an equilateral triangle, then eccentricity of the ellipse is

    A
    `1/4`
    B
    `1/3`
    C
    `1/2`
    D
    `sqrt(3/2)`

  • S and S' are the foci of an ellipse and B is an end of the minor axis. If SS' B is an equilateral triangle, the eccentricity of the ellipse is.

    A
    `1//4`
    B
    `1//3`
    C
    `1//2`
    D
    `2//3`

    • Similar Questions

    Explore conceptually related problems

    If S and S' are two foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and B is and end of the minor axis such that Delta BSS' is equilateral,then write the eccentricity of the ellipse.

    If one extremity of the minor axis of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the foci form an equilateral triangle,then its eccentricity,is

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

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

    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

    Home
    Profile