If the axes are rotated through an angle 'O' then the equation f(x,y)=0 of a curve is transformed as f(x'cos 0 + y' sin 0, x' sin 0 + y' cos 0 )= 0 f(x'cos 0 + y' sin 0, x' sin – y' cos 0 ) = 0 oby (x'cos 0 - y' sin 0, x'sin 0 + y' cos0) = 0 f (x' cos 0 + y' sin 0, -r' sin 0 + y' cos() = 0
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