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Consider an ellipse (x^2)/4+y^2=alpha(al...

Consider an ellipse `(x^2)/4+y^2=alpha(alpha` is parameter `>0)` and a parabola `y^2=8x` . If a common tangent to the ellipse and the parabola meets the coordinate axes at `Aa n dB` , respectively, then find the locus of the midpoint of `A Bdot`

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