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Consider an ellipse x^2/25+y^2/9=1 with...

Consider an ellipse `x^2/25+y^2/9=1` with centre c and a point P on it with eccentric angle `pi/4.` Nomal drawn at P intersects the major and minor axes in `A and B` respectively. `N_1 and N_2` are the feet of the perpendiculars from the foci `S_1 and S_2` respectively on the tangent at P and N is the foot of the perpendicular from the centre of the ellipse on the normal at P. Tangent at P intersects the axis of x at T.

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