Question

Find the distance between the points A&B ,A(a+b, a-b) B(a-b,-a-b)
?????????????????????

Answer 1

Solution:

Let A(a+b,a-b) = (x1,y1)

B(a-b,-a-b) = (x2,y2)

Distance between A and B

= AB

= √(x2-x1)²+(y2-y1)²

=√[a-b-(a+b)]²+[-a-b-(a-b)]²

=√(a-b-a-b)²+(-a-b-a+b)²

=√(-2b)²+(-2a)²

= √4b²+4a²

=√4(b²+a²)

= 2√(a²+b²)

Therefore,

AB = 2√a²+b²

••••