If the lines x-k 2 = y+1 3 = z-1 4 and x-3 1 = y- 9 2 2 = z 1 intersect, then the value of k is

MHT CET 2023 Mathematics question

If the lines and intersect, then the value of k is

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

Answer: (C)

Solution

A general point on the first line is and on the second is . For intersection equate coordinates: ... (i); ... (ii); ... (iii). Put in (ii): , so and .

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Question ID VK-098236