Question

The equation of line passing through the point of intersection of the lines $4 x - 3 y - 1 = 0$ and $5 x - 2 y - 3 = 0$ and parallel to the line is.

• A. $x - 3 y = 1$
• B. $3 x - 2 y = 1$
• C. $2 x - 3 y = 1$
• D. $2 x - y = 1$

Answer 1

Answer: (B)

$3 x - 2 y = 1$

Answer 2

The point of intersection of the lines is (1, 1). The equation of line parallel to $2 y - 3 x + 2 = 0$ is $2 y - 3 x + k = 0$. It also passes through (1, 1), therefore $k = 1$. Hence the required equation is $2 y - 3 x + 1 = 0$ or $3 x - 2 y = 1$ .