Mathematics

Mathematics

Problem

Consider the lines x(3λ+1)+y(7λ+2)=17λ+5x(3\lambda + 1) + y(7\lambda + 2) = 17\lambda + 5, λ\lambda being a parameter, all passing through a point P. One of these lines (say L) is farthest from the origin. If the distance of L from the point (3, 6) is dd, then the value of d2d^2 is (1) 20 (2) 30 (3) 10 (4) 15

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