State which one of the following is true :
The straight lines y = 3x - 5 and 2y = 4x + 7 are

(i) parallel

(ii) perpendicular

(iii) neither parallel nor perpendicular.

Lines are y = 3x - 5 and 2y = 4x + 7 or y = 2x + $\dfrac{7}{2}$.

Comparing y = 3x - 5 and y = 2x + $\dfrac{7}{2}$ with y = mx + c we get,

slopes = 3 and 2.

Since, slope of both the lines are neither equal nor their products is -1. Thus, the lines are neither parallel nor perpendicular.

Hence, (iii) is the correct option.