CBSE Past Year MCQ Quiz

Assertion (A) : The value of p for which the system of equations \(4 \mathrm{x}+\mathrm{py}+8=0\) and \(2 \mathrm{x}+2 \mathrm{y}+2=0\) is consistent is 4.

Reason (R) : The system of equations \(\mathrm{a}_1 \mathrm{x}+\mathrm{b}_1 \mathrm{y}=\mathrm{c}_1\) and \(\mathrm{a}_2 \mathrm{x}+\mathrm{b}_2 \mathrm{y}=\mathrm{c}_2\) is consistent with infinitely many solutions, if \(\frac{\mathrm{a}_1}{\mathrm{a}_2}=\frac{\mathrm{b}_1}{\mathrm{~b}_2}=\frac{\mathrm{c}_1}{\mathrm{c}_2}\).

If a pair of linear equations in two variables is consistent, then the lines represented by the two equations are :