Question

find the difference between the following pairs of point (4,-6) (-6,4)​

Answer 1

Let A(a,b)≡(x
1
​
,y
1
​
) and B(−a,−b)≡(x
2
​
,y
2
​
) be the points of a straight line.

AB=
(x
2
​
−x
1
​
)
2
+(y
2
​
−y
1
​
)
2

​


AB=
(−a−a)
2
+(−b−b)
2

​


=
(−2a)
2
+(−2b)
2

​


=
4a
2
+4b
2

​
=2
a
2
+b
2