Question
Find the distance between the lines y = x + 1 and y = x – 1
Hint:
Distance d between two parallel lines y = mx + c1 and y = mx + c2 is given by
The correct answer is: square root of 2 units
We are given y = x + 1 and y = x – 1 which are already in y = mx + c form
So, C1 = 1, C2 = –1 and m = 1
As both lines have same slope, so they are parallel lines.
Using formula, d = 
= 
= 
units
Final Answer:
Hence, the distance between parallel lines y = x + 1 and y = x – 1 is 
units.
unitsFinal Answer:
Hence, the distance between parallel lines y = x + 1 and y = x – 1 is
units.Related Questions to study
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