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  • Explain solution RD Sharma class 12 chapter 27 Straight Line in Space exercise Multiple choice question 12 maths

Explain solution RD Sharma class 12 chapter 27 Straight Line in Space exercise Multiple choice question 12 maths

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best_answer

Answer: Correct answer is A.

Hint: Use vector cross product.

Given: \frac{x}{1}=\frac{y}{2}=\frac{z}{3} \text { and } \frac{x-1}{-2}=\frac{y-2}{-4}=\frac{z-3}{-6}

Solution: The equations of the given lines are

\Rightarrow \frac{x}{1}=\frac{y}{2}=\frac{z}{3}                ..........(1)

Direction ratios are 1,2,3

\begin{aligned} &\frac{x-1}{-2}=\frac{y-2}{-4}=\frac{z-3}{-6} \\\\ &\Rightarrow \frac{x-1}{1}=\frac{y-2}{2}=\frac{z-3}{3} \end{aligned}    ............(2)

Direction ratios are 1,2,3

Since, direction ratios of the two lines are equal so, the given lines are parallel.

So, the correct option is (a) parallel.

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