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S and T are the foci of an ellipse and B is end point of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipseis(A)14 (B)13 (C)12 (D)23

aniket anand , 11 Years ago
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Arun

Last Activity: 4 Years ago

STB is equilateral Triangle. tan 60° = (OB/OS) = [b/{(1/2)2ae}] --- as d(foci) = 2ae ∴ √3 = (b/ae) ⇒ √(3)e = (b/a) Now e2 = 1 – (b2/a2) = 1 – 3e2 ∴  4e2 = 1 i.e.   e = ± (1/2) ⇒  e = (1/2) as 0

Vikas TU

Last Activity: 4 Years ago

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