distance between parallel lines 6x+8y+21=0 and 3x+4y+7=0 is
10/7
-10/7
7/10
-7/10
Answers
we have to find the distance between parallel lines 6x + 8y + 21 = 0 and 3x + 4y + 7 = 0.
solution : concept : when two parallel lines are ax + by + c = 0 and ax + by + k = 0
then, distance between them is given by, |c - k|/√(a² + b²).
here lines are 6x + 8y + 21 = 0 ⇒3x + 4y + 10.5 = 0
3x + 4y + 7 = 0
now distance between them is |10.5 - 7|/√(3² + 4²)
= |3.5|/√(9 + 16)
= 3.5/5
= 0.7
= 7/10
Therefore the distance between given parallel lines is 7/10 unit.
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