What is the number of possible values of k for which the line joining the points (k, 1, 3) and (1, -2, k+1) also passes through the point (15, 2, -4)?

NDA 2021 Mathematics question

What is the number of possible values of for which the line joining the points and also passes through the point ?

Answer: (A)

Let , and . The three points are collinear if the direction ratios of and are proportional. and . So we need . From the

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Question ID VK-033560