Consider the diagram below in a two dimensional Cartesian x-y plane. The parabola is given by the equation y = kx² where k is a positive constant. The circle of radius r 'sits' on top of the parabola, i.e. the circle touches the parabola at two points. Determine c, which is the distance of the centre of the circle from the x-axis, in terms of k and r. circle o parabola x-axis

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