Subject - Mathematics:

General

MCQ - 194-8926

Question:

The points (5, 2, 4) (6, - 1, 2) and (8, - 7, k) are collinear if k is equal to

-2
2
3
2

Correct Answer: A

Explanation:

Let A (5, 2, 4), B (6, -1, 2), C (8, -7, k)
be the given points.
Direction Ratios of AB are
< 6 – 5, -1 –2, 2 – 4 >
i.e. < 1, -3, -2 >
Direction Ratios of BC are
< 8 – 6, - 7 + 1, k – 2 >
i.e. < 2, - 6, k – 2 >
Since A, B, C are collinear

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