The equation of a curve is Show that the tangent to the curve at the point (1,

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The equation of a curve is

xy 2xy + x - 1 = 0

Show that the tangent to the curve at the point (1, 2) has a slope of unity. Hence write down the equation of the tangent to the curve at this point. What are the coordinates of the points at which this tangent crosses the coordinate axes?

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