The number of distinct real values of , for which the lines x-1 1 = y-2 2 = z+3 ^2 and x-3 1 = y-2 ^2 = z-1 2 , are coplanar is

JEE Main 2016 Mathematics question

The number of distinct real values of , for which the lines and , are coplanar is

Answer: (3)

The lines pass through and with directions and . They are coplanar exactly when the scalar triple product of with the two directions vanishes:

2&0&4 1&2&λ^2\

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Question ID VK-115670