An ellipse having co-ordinate axes as its axes having lengths 2a and 2b units respectively, Where a and b are middle terms of a series a1,a2,a3⋯a10, aia11−i=5√3 ∀ i∈N,i<11. If B,F,F′ are one end of minor axis and foci of the ellipse respectively,such that triangle FBF′ is an equilateral triangle, then equation of ellipse is

An ellipse having co-ordinate axes as its axes having lengths 2a and 2

1.	An ellipse having co-ordinate axes as its axes having lengths 2a and 2b units respectively, Where a and b are middle terms of a series a1,a2,a3⋯a10, aia11−i=5√3 ∀ i∈N,i<11. If B,F,F′ are one end of minor axis and foci of the ellipse respectively,such that triangle FBF′ is an equilateral triangle, then equation of ellipse is
Answer» An ellipse having co-ordinate axes as its axes having lengths $2 a$ and $2 b$ units respectively, Where $a$ and $b$ are middle terms of a series $a_{1}, a_{2}, a_{3} \dots a_{10},$ $a_{i} a_{11 - i} = 5 \sqrt{3} \forall i \in N, i < 11.$ If $B, F, F^{'}$ are one end of minor axis and foci of the ellipse respectively,such that triangle $F B F^{'}$ is an equilateral triangle, then equation of ellipse is