Question: A line has equation y = 2kx 9 and a curve has equation y = x = kx, where k is a constant. a)

A line has equation y = 2kx − 9 and a curve has equation y = x² = kx, where k is a constant.

a) Find the two values of k for which the line is a tangent to the curve.

b) For each value of k, find the coordinates of the point where
the line is a tangent to the curve, and find the equation of the line
that joins these two points.

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