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`

`1/sqrt2`

`1/3`

`1/2`

`sqrt3/2`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ELLIPSE
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
ELLIPSE
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
ELLIPSE
ARIHANT MATHS|Exercise Exercise For Session 3|14 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

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

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=

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.

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 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

ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)

The curve represents by the equationx^(2)/(sinsqrt2-cossqrt3)+y^(2)/(s...
Text Solution
|
The maximum distance of the centre of the ellipse (x^(2))/(16) +(y^(2)...
Text Solution
|
S and T are the foci of the ellipse x^2/a^2+y^2/b^2 = 1 and B is an en...
Text Solution
|
A circle of radius 5/sqrt2 is concentric with the ellipse x^(2)/16+y^(...
Text Solution
|
Consider the particle travelling clockwise on the elliptical path x^2/...
Text Solution
|
C is the centre of the ellipse x^(2)/16+y^(2)/9=1 and A and B are two ...
Text Solution
|
Let (alpha,beta) be a point from which two perpendicular tangents can ...
Text Solution
|
If a=[t^(2)-3t+4] and b=[3+5t], where [.] donates the greatest integer...
Text Solution
|
If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...
Text Solution
|
An arc of a bridge is semi-elliptical with the major axis horizonta...
Text Solution
|
A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...
Text Solution
|
If tangents are drawn from any point on the circle x^(2) + y^(2) = 25...
Text Solution
|
the equation of the chord of contact of the pair of tangents drawn to ...
Text Solution
|
x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...
Text Solution
|
The point on the ellipse x^2 + 2y^2 = 6 closest to the line x + y = 7 ...
Text Solution
|
From a point on the axis of x common tangents are drawn to the parabol...
Text Solution
|
If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...
Text Solution
|
A parabola is drawn whose focus is one of the foci of the ellipse x^2...
Text Solution
|
If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...
Text Solution
|
The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...
Text Solution
|