1 The line / is tangent to the curve y=1-- , where x0, at the point where x = a. Show that the equation of I may be expressed in the form a'y-x=a² - 2a. The tangent line / passes through a fixed point (X,Y). Give a brief argument to explain why there cannot be more than 2 tangents passing through (X,Y). (iii) Find the value of a for which the line / passes through the origin, and find the equation of / in this case. (i) (ii)

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