prove that the common tangent drawn to the ellipse x2/a2+y2/b2-2x/c=0 and x2/b2+y2/a2-2x/c=0 subtends a right angle at the origin.

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prove that the common tangent drawn to the ellipse x2/a2+y2/b2-2x/c=0 and x2/b2+y2/a2-2x/c=0 subtends a right angle at the origin.

prove that the common tangent drawn to the ellipse x2/a2+y2/b2-2x/c=0 and x2/b2+y2/a2-2x/c=0 subtends a right angle at the origin.

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prove that the common tangent drawn to the ellipse x2/a2+y2/b2-2x/c=0 and x2/b2+y2/a2-2x/c=0 subtends a right angle at the origin.

prove that the common tangent drawn to the ellipse x2/a2+y2/b2-2x/c=0 and x2/b2+y2/a2-2x/c=0 subtends a right angle at the origin.

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