Find the distance between the points:
P(a + b , a – b) and Q(a – b, a + b)
In this question, we have to use the distance formula to find the distance between two points which is given by, say for points P(x1,x2) and Q(y1,y2) then
PQ = √(x2 – x1)2 + (y2 – y1)2
AB = √{((a – b) – (a + b))2 + ((a + b) – (a – b))2}
= √{(– 2b)2 + (2b)2}
= √{4b2 + 4b2}
= √8b2
∴ AB = 2√2b units
2