Question

find the value of k so that the lines represented by x+y =3 and kx + 2y = 8 will be parallel.

Answer 1

$$\begin{gathered} \mathrm{x}+\mathrm{y}=3 \\ \mathrm{kx}+2\mathrm{y}=8 \\ \mathrm{For}\mathrm{lines}\mathrm{to}\mathrm{be}\mathrm{parallel} \\ \frac{{\mathrm{a}}_1}{{\mathrm{a}}_2}=\frac{{\mathrm{b}}_1}{{\mathrm{b}}_2} \\ \mathrm{Here}{\mathrm{a}}_1=1,{\mathrm{b}}_1=1 \\ {\mathrm{a}}_2=\mathrm{k},{\mathrm{b}}_2=2 \\ \mathrm{So}, \\ \frac{1}{\mathrm{k}}=\frac{1}{2} \\ \Rightarrow \mathrm{k}=2\mathrm{ANS}... \\ \mathrm{Value}\mathrm{of}\mathrm{k}\mathrm{is}2. \end{gathered}$$