# The distance between two parallel lines 5x - 12y + 2 = 0 and 5x - 12y - 3 = 0 is given by:

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The distance between two parallel lines 5x - 12y + 2 = 0 and 5x - 12y - 3 = 0 is given by:
1. 1/17
2. 5/13
3. 1/13
4. 5/14
5. None of these

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Correct Answer - Option 2 : 5/13

Concept:

The distance between two parallel lines ax + by + c1 = 0 and ax + by + c2 = 0 is given by the formula: $\rm d=\dfrac{|c_1-c_2|}{\sqrt{a^2+b^2}}$.

Calculation:

Using the concept above, we have a = 5, b = -12, c1 = 2 and c2 = -3.

∴ $\rm d=\dfrac{|c_1-c_2|}{\sqrt{a^2+b^2}}$

$\rm \dfrac{|2-(-3)|}{\sqrt{5^2+(-12)^2}}$

$\rm \dfrac{|5|}{\sqrt{169}}$

$\dfrac{5}{13}$.