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  • Explain solution for RD Sharma maths class 12 chapter 26 Direction Cosines and Direction Ratios exercise 26 point 1 question 10 maths textbook solution

Explain solution for RD Sharma maths class 12 chapter 26 Direction Cosines and Direction Ratios exercise 26.1 question 10 maths textbook solution

Answers (1)

Answer: Both lines are parallel to each other

Hint: Direction ratio of parallel lines are proportional

Given: \mathrm{A}(4,7,8), \mathrm{B}(2,3,4), \mathrm{C}(-1,-2,1) \& \mathrm{D}(1,2,5). Show that AB and CD are parallel.

Solution: we have \mathrm{A}(4,7,8), \mathrm{B}(2,3,4), \mathrm{C}(-1,-2,1) \& \mathrm{D}(1,2,5)

   Direction ratio of AB are=\left ( 2-4,3-7,4-8 \right )

=\left (-2,-4,-4 \right )

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

=\left ( 2,4,4 \right )

Comparing direction ratio of AB and BC

\frac{-2}{2}=\frac{-4}{4}=\frac{-4}{4}

Hence, both are proportional to each other

Therefore, AB and CD are parallel lines

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