Find the area of the rectangle formed by the perpendiculars from the center of the ellipse x2a2+y2b2=1 to the tangent and normal at a point whose eccentric angle is π4.
A
(a2−b2)aba2+b2
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B
(a2+b2)aba2−b2
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C
(a2−b2)ab(a2+b2)
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D
(a2+b2)ab(a2−b2)
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