Question

$5x-2y+4=0$ is a linear equation. Write another equation in two variables such that the geometrical representation of the pair so formed are overlapping (coincident) lines.

• A. $10x-4y+8=0$
• B. $10x-3y+3=0$
• C. $10x-3y+5=0$
• D. Data insufficient

Answer 1

The correct option is A $10x-4y+8=0$

$5x-2y+4=0$
is a linear equation .For the given condition
$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$
then second equation will be
$10x-4y+8=0$
Here $\frac{a_1}{a_2}=\frac{5}{10}=\frac{1}{2}$
$\frac{b_1}{b_2}=\frac{-2}{-4}=\frac{1}{2}$
$\frac{c_1}{c_2}=\frac{4}{8}=\frac{1}{2}$
Hence $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$