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  • Please solve RD Sharma Class 12 Chapter 26 Directions Cosines and Direction Ratio Exercise Multiple Choice Question, question 7 Maths textbook solution.

Please solve RD Sharma Class 12 Chapter 26 Directions Cosines and Direction Ratio Exercise Multiple Choice Question, question 7 Maths textbook solution.

Answers (1)

Answer:

(a)\sqrt{b^2+c^2}

Hint: Use distance formula

Given: Point P(a,b,c)

To Find: Distance of point P from x-axis

Solution:

The distance of the point (a,b,c) from x-axis will be perpendicular distance from point (a,b,c) to x-axis whose coordinates are (a,0,0)

Distance formula is given by

\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}} \\ &d=\sqrt{(a-a)^{2}+(0-b)^{2}+(0-c)^{2}} \end{aligned}

where

\begin{aligned} &\left(x_{1}, y_{1}, z_{1}\right)=(a, b, c) \&\left(x_{2}, y_{2}, z_{2}\right)=(a, 0,0) \\ &d=\sqrt{b^{2}+c^{2}} \end{aligned}

Therefore, option

(a)\sqrt{b^2+c^2} is correct

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