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


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