how (A1,B2) is distinct from the point (B2,A1)
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Answer:
given points (a
1
,b
1
)(a
2
,b
2
)(a
1
+a
2
,b
1
+b
2
)
for the points to be collinear the slope must be equal
a
2
−a
1
b
2
−b
1
=
a
1
+a
2
−a
2
b
1
+b
2
−b
2
a
2
−a
1
b
2
−b
1
=
a
1
b
1
b
2
a
1
−a
1
b
1
=a
2
b
1
−a
1
b
1
∴a
1
b
2
=a
2
b
1
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