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Question

Eliminate θ, if x=asecθ,y=btanθ. Then find
x2a2y2b2

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Solution

x=asecθ, y=btanθ
thus, secθ=xa and tanθ=yb
We know, sec2θtan2θ=1
(xa)2(yb)2=1
x2a2y2b2=1

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