# When co - ordinate meets calculus

Find the minimum distance between the lines

\(ax +7y + 13\) and \(ax + 5y + 8\) .

If your answer is \(a\) + \(b\)√6 . Enter \(a\) + \(b\) as your answer.

**Details and Explanations**

Minimum distance means minimum possible distance between any two points .

Express your answer as \(a\) + \(b\)√6 and enter \(a\) + \(b\) as your answer.

Where \(a\) , \(b\) ∈ +ve I