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  • Explain solution RD Sharma class 12 Chapter 27 Striaght Line in Space Exercise Fill in the blanks question 6

Explain solution RD Sharma class 12 Chapter 27 Striaght Line in Space Exercise Fill in the blanks question 6

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Answer :  \frac{x+2}{1}=\frac{y-3}{1}=\frac{z-4}{1}

Hint :     Use equation of line

Given :  (-2 , 3 , 4) and equally inclined with the coordinate axes

               OX , OY and OZ are -----------

Solution : Equation of line passing through (x1 , y1 , z1)

                  And having direction cosines l,m,n is

                \frac{x-x_{1}}{l}=\frac{y-y_{1}}{m}=\frac{z-z_{1}}{n}

                  Also line is equally inclined to co-ordinate axes

              Here (x_{1}, y_{1}, z_{1})=(-2,3,4)

                 ∴ Equation of line is

               \Rightarrow \frac{x+2}{1}=\frac{y-3}{1}=\frac{z-4}{1}

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