The distance between the parallel lines $3 x-4 y+7=0$ and $3 x-4 y+5=0$ is $\frac{a}{b}$. Value of $a+b$ is
- 2
- 5
- 7
- 3
Solution
$3 x-4 y+7=0$ and $3 x-4 y+5=0$
Required distance $=\frac{|7-5|}{\sqrt{(3)^{2}+(-4)^{2}}}=\frac{2}{5}$ $\Rightarrow a=2, b=5$
Asked in: MHT CET Full Test 8