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  • Explain solution RD Sharma class 12 chapter 26 Direction Cosines and Direction Ratios exercise Fill in the blanks question 12 maths

Explain solution RD Sharma class 12 chapter 26 Direction Cosines and Direction Ratios exercise Fill in the blanks question 12 maths

Answers (1)

Final Answer:   \pm \sqrt{3}

Hint:

Use property of direction cosine.

Given:

Direction cosine of line   (l, m, n)=\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)

To Find: 

Value of c

Solution:

(l, m, n)=\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)\\\\ Now \; \; as\; \; l^{2}+m^{2}+n^{2}=1\\\\ \left(\frac{1}{c}\right)^{2}+\left(\frac{1}{c}\right)^{2}+\left(\frac{1}{c}\right)^{2}=1

\begin{aligned} &\frac{3}{c^{2}}=1 \\\\ &c^{2}=3 \\\\ &c=\pm \sqrt{3} \end{aligned}

Therefore the value of c is \pm \sqrt{3}

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