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