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   
⇒    = tan tan         [By C & D ]

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