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From any point on the line y=x+4, tangen...

From any point on the line `y=x+4,` tangents are drawn to the auxiliary circle of the ellipse `x^2+4y^2=4` . If `P` and `Q` are the points of contact and `Aa n dB` are the corresponding points of `Pa n dQ` on he ellipse, respectively, then find the locus of the midpoint of `A Bdot`

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