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  4. The equation of the line L is 3x + 4y = 12. If a line M whose equation is 3x + 4y + k = 0 is 2 units from L, then the possible value of k is

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Q. The equation of the line $L$ is $3x + 4y = 12.$ If a line M whose equation is $3x + 4y + k = 0$ is 2 units from $L$, then the possible value of k is

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Solution:

$\frac{| k +12|}{5}=2 \Rightarrow| k +12|=10 \Rightarrow k =-2$ or -22