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  • Provide solution for RD Sharma Maths Class 12 Chapter 26 Directions Cosines and Direction Ratios Exercise Multiple Choice Question, question 16.

Provide solution for RD Sharma Maths Class 12 Chapter 26 Directions Cosines and Direction Ratios Exercise Multiple Choice Question, question 16.

Answers (1)

Final Answer:

(d) \sqrt{\alpha^2+\gamma ^2}

Hint: Use distance formula

Given:

Point P (\alpha ,\beta ,\gamma )

To Find: Distance of P from y-axis

Solution: The distance of the point

(\alpha ,\beta ,\gamma )  from y-axis whose coordinates are

(0 ,\beta ,0 )

Distance formula is

\begin{aligned} &d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}+\left(z_{2}-z_{1}\right)^{2}} \\ &=\sqrt{(0-\alpha)^{2}+(\beta-\beta)^{2}+(0-\gamma)^{2}} \end{aligned}

where

\begin{aligned} &\left(x_{1}, y_{1}, z_{1}\right)=(\alpha, \beta, \gamma) \&\left(x_{2}, y_{2}, z_{2}\right)=(0, \beta, 0) \\ &d=\sqrt{\alpha^{2}+\gamma^{2}} \end{aligned}

Therefore, option(d) is correct.

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