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Provide Solution for RD Sharma Class 12 Chapter 27 Straight Line in Space Exercise Fill in the blanks Question 9

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Answer :  \frac{x-a}{0}=\frac{y-b}{0}=\frac{z-c}{1}

Hint :        Use direction equation of   \text { cosine }\left\{\frac{x_{2}-x_{1}}{P Q}, \frac{y_{2}-y_{1}}{P Q}, \frac{z_{2}-z_{1}}{P Q}\right\}

Given :  ( a , b, c) and parallel to z- axis

Solution :  The direction cosine of line parallel to Z-axis are ( 0 , 0 , 1 )

                    Since, the line passes through ( a, b , c)

                     Thus , its equation is   \frac{x-a}{0}=\frac{y-b}{0}=\frac{z-c}{1}

 

 

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