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The locus of the middle point of chords ...

The locus of the middle point of chords of an ellipse `x^2/16+y^2/25=1` passing through `P(0,5)` in another ellipse E. The coordinates of the foci of the ellipse E, is (A) `(0,3/5)` and `(0,-3/5)` (B) `(0,-4)` and `(0,1)` (C) `(0,4)` and `(0,1)` (D) `(0,11/2)` and `(0,-1/2)`

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