If the lines x-1 2 = y+2 3 = z-1 4 and x-3 1 = y-k 2 = z 1 intersect, then k has the value

MHT CET 2024 Mathematics question

If the lines and intersect, then k has the value

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

A general point of the first line is and of the second is . For intersection, equate coordinates: and . Substituting in the first: , so . Then the -coordinates must agree:

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Question ID VK-095531