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Explain Solution R.D.Sharma Class 12 Chapter 28 The Plane  Exercise 28.13 Question 18 Sub Question 2 Maths Textbook Solution.

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The equation of plane contain lines is

\left(\begin{array}{ccc} x-1 & y+1 & 2 \\ 2 & 2 & 2 \\ 5 & 2 & n_{2} \end{array}\right)=0

When k=2

\begin{aligned} &(x-1)(4-4)-(y+1)(4-10)+(2)(4-10)=0 \\ &6 y-6 z+6=0 \\ &y+z+1=0 \end{aligned}

The equation of plane contain line

                    \left(\begin{array}{ccc} x-1 & y+1 & 2 \\ 2 & 2 & 2 \\ 5 & 2 & -2 \end{array}\right)=0

When k=-2

            \begin{aligned} &(x-1)(4-4)-(y+1)(-4-10)+(z)(4+10)=0 \\ &14 y+14 z+14=0 \\ &y+z+1=0 \end{aligned}

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