CircleHard
Question
If P is a point of the ellipse
= 1, whose foci are S and S′. Let ⎳PSS′ = α and ⎳PS′ S = β, then -
Options
A.PS + PS′ = 2a, if a > b
B.PS + PS′ = 2b, if a < b
C.tan
tan
= 
D.tan
tan
=
[a -
] when a > b
Solution

By definition of ellipse
PS + PS′ = 2a if a > b
PS + PS′ = 2b if a < b
and SS′ = 2ae
Now by sine rule in ᐃPSS′
or
or
or
⇒
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