The line y = 5 - kx, where k is an integer, is a tangent to the

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The line y = 5 - kx, where k is an integer, is a tangent to the curve y = 2k − x².

a) Find the possible values of k. When k = 2, the line y = 5 − kx is a tangent to the curve y = 2k − x² at point A.

b) Find the coordinates of A.

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