Question

yeah of a plus b minus b and b of a minus b,minus a minus b​

Answer 1

Solution:

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

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

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)

••••