If the lines x-1 2 = y+1 3 = z-1 4 and x-2 1 = y+m 2 = z-2 1 intersects each other, then the value of m is ....

MHT CET 2026 Mathematics question

If the lines and intersects each other, then the value of m is ....

(A)1
(B)2
(C)-1Correct
(D)4

Answer: (C)

Solution

Point on the first line: with direction . Point on the second: with direction . The lines are not parallel, so they intersect iff they are coplanar: . Expanding:

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Question ID VK-096279