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A curve C has parametric equations x = t+=, y=t-- E The point P on the curve has parameter p. Show that the equation of the tangent at Pis (p2 + 1)x-(p2 -1)y = 4p. (ii) The tangent at P meets the line y = x at the point A and the line y = -x at the point B. Show that the area of triangle OAB is independent of p, where O is the origin. iii) Find a cartesian equation of C. Sketch C, giving the coordinates of any points where C crosses the x- and y-axes and the equations of any asymptotes