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Let P, Q, R be three s on the circle x^2+y^2=25. L, M, N are points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1. PL, QM, NR are perpendicular to x-axis, with each segment not intersecting the x-axis. Further none of these points lie on coordinate axes and P, Q, R have been so chosen that area of triangle PQR is maximum. Normal to the ellipse at L, M and N are:

Answer»

Concurrent at a point
Such that they all pass through origin
Sides of an equilateral TRIANGLE with non-zero area
Such that two of them are NECESSARILY perpendicular

Answer :A


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