Show that the line will cut the ellipse in points whose eccentric angles differ by

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Show that the line lx+my+n=0lx + my + n = 0 will cut the ellipse x2/a2+y2/b2=1x^2/a^2 + y^2/b^2 = 1 in points whose eccentric angles differ by (π/2)(\pi/2), if a2l2+b2m2=2n2a^2l^2 + b^2m^2 = 2n^2.

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