Question: A line has equation 4x + y + k = 0 and a curve has equation y = kx + 3, where k is a

A line has equation 4x + y + k = 0 and a curve has equation y = kx² + 3, where k is a constant.

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

b) Find the equation of the straight line
joining the points on the curve for these
two values of k.

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