14th one

Dear Student,

x = a cosθ​ 
cosθ​ = xa   ............. (1) 
y = b sinθ 
sinθ = yb        ................ (2)

From (1) and (2) 
cos2θ + sin2θ = x2a2+y2b2
x2a2+y2b2 = 1
This is the equation of ellipse.
Therefore, e2a2-b2a2

Regards

 

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