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If the normals at four points `(x_(1),y_(1)),(x_(2),y_(2)), (x_(3),y_(3))` and `(x_(4),y_(4))` on the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` are concurrent then `sumcosalpha.sumsecalpha` is (where `alpha, beta, gamma, delta` are the eccentric angles of the points):A. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - D d `(a^(2)-b^(2))x^(4)-2ha^(2)(a^(2)-b^(2))x^(3)-x^(2)+2a^(4)h(a^(2)-b^(2))-a^(6)h^(2)=0implies(sumx_(1))(sum1/(x_(1)))=4` |
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