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

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
  1. 2
  2. 5
  3. 7
  4. 3

Solution

Given parallel lines are
$3 x-4 y+7=0$ 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

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