Through a point P on the circle x * 2 + y * 2 = 4, make a vertical line of X axis, and the vertical foot is Q. find the ordinary equation of the locus of the midpoint of the line PQ

Let m (m, n) be the midpoint of PQ
=>p(m,2n)
So m ^ 2 + (2n) ^ 2 = 4
So m ^ 2 / 4 + n ^ 2 = 1
It's an ellipse

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