Question

Distance between the lines $5 x+3 y-7=0$ and $15 x+9 y+14=0$ is

(A) $\frac{35}{\sqrt{34}}$

(B) $\frac{1}{3 \sqrt{34}}$

(C) $\frac{35}{3 \sqrt{34}}$

(D) $\frac{35}{2 \sqrt{34}}$

Answer 1

Equation of lines are $5 x+3 y-7=0$

and $15 x+9 y+14=0$ or $5 x+3 y+\frac{14}{3}=0$

Lines (i) and (ii) are parallel

So, The correct option will be (C).