Let A,B,C and D be four points on the ellipse x2a2+y2b2=1,a>b, such that AB and CD cut its major axis at two distinct equidistant points from centre. Let α,β,γ,δ represent eccentric angles of A,B,C and D respectively. Then tanα2tanβ2tanγ2tanδ2=

Let A,B,C and D be four points on the ellipse x2a2+y2b2=1,a>b, such th

1.	Let A,B,C and D be four points on the ellipse x2a2+y2b2=1,a>b, such that AB and CD cut its major axis at two distinct equidistant points from centre. Let α,β,γ,δ represent eccentric angles of A,B,C and D respectively. Then tanα2tanβ2tanγ2tanδ2=
Answer» Let $A, B, C$ and $D$ be four points on the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1, a > b,$ such that $A B$ and $C D$ cut its major axis at two distinct equidistant points from centre. Let $α, β, γ, δ$ represent eccentric angles of $A, B, C$ and $D$ respectively. Then $tan \frac{α}{2} tan \frac{β}{2} tan \frac{γ}{2} tan \frac{δ}{2} =$