Suppose S and Sf are foci of the ellipse 
. If P is a variable point on the ellipse and if 
is the area (in sq. units) of the triangle PSS’,then the maximum value of 
is double of
Text Solution
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Minimum value of 
Given, a 2 =25 and b 2 =16
Given , a 2 = 25 and b 2 = 16
So, the coordinates of foci S and S' are (3, 0) and (-3, 0) respectively.
Let, P (5 cos 
, 4 sin 
) be a variable point on the ellipse.
Then, 
= area of 
PSS' = 
Since the value of sin 
lies between -1 and 1
So, the maximum value of area of 
PSS' is 12 sq. units
Also, a 8 + b 4 
2a 4 6 2 (since, A.M 
G.M)
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