The straight lines whose d.c.s. satisfy al + bm + cn = 0 and fmn + gnl + hlm = 0 are perpendicular if ...................

MHT CET Mathematics question

The straight lines whose d.c.s. satisfy and are perpendicular if ...................

Answer: (A)

Eliminate from to get ag\,l^2 + (af + bg - ch)lm + bf\,m^2 = 0, a quadratic in whose roots give the two lines. The product of the roots gives , i.e.

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Question ID VK-027164