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Let f (x,y)= x^(2) - y^(2) and g (x,y)=2...

Let `f (x,y)= x^(2) - y^(2) and g (x,y)=2xy.` such that `(f ( x,y))^(2) -(g (x,y))^(2)=1/2 and f (x,y) . G(x,y) =(sqrt3)/(4)` Find the number of ordered pairs `(x,y) ` ?

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