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  • Explain solution for RD Sharma maths class 12 chapter 26 Direction Cosines and Direction Ratios exercise 26.1 question 9 maths textbook solution

Explain solution for RD Sharma maths class 12 chapter 26 Direction Cosines and Direction Ratios exercise 26.1 question 9 maths textbook solution

Answers (1)

Answer: The points are collinear.

Hint: Direction ratios of parallel lines are proportional.

Given: Points A (2, 3, 4), B (-1, -2, -1), C (5, 8, 7). Prove A, B, C are collinear

Solution: we have Points A (2, 3, 4), B (-1, -2, -1), C (5, 8, 7)

    Direction ratio of AB are =\left ( -1-2,-2-3,1-4 \right )

=\left ( -3,-5,-3\right )

    Direction ratio of BC are=\left ( 5-\left ( -1 \right ),8-\left ( -2 \right ),7-1\right )

=\left ( 6,10,6 \right )

Comparing direction ratio of AB and BC

\frac{-3}{6}=\frac{-5}{10}=\frac{-3}{6}

Hence, both are proportional and B is the common point in parallel line.

Therefore, A, B, C are collinear points.

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