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Find the condition so that the line px +...

Find the condition so that the line `px + qy = r` intersects the ellipse `x^2/a^2+y^2/b^2=1` in points whose eccentric angles differ by `pi/4`.

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If the line l x+m y+n=0 cuts the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 at points whose eccentric angles differ by pi/2, then find the value of (a^2l^2+b^2m^2)/(n^2) .

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Show that the tangent to the ellipse x^2/a^2+y^2/b^2=1 at points whose eccentric angles differ by pi/2 intersect on the ellipse x^2/a^2+y^2/b^2=2