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If the points (-1, 2, -3), ( 4, a, 1) and (b, 8, 5) are collinear, then a and b are respectively equal to

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9 and 5

5 and 5

-5 and 9

5 and 9

answer is C.

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Detailed Solution

Since the points are collinear

$\begin{array}{l} ∴ x_{2} - x_{1} = x_{3} - x_{2} and y_{2} - y_{1} = y_{3} - y_{2} \\ b - 4 = 4 - (- 1) and a - 2 = 8 - a \\ b = 9 and 2 a = 10 \Rightarrow a = 5 \\ Hence a = 5 and b = 9 . \end{array}$

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