find distance (a,b) (-1,-b)
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Step-by-step explanation:
Distance between two points (x
1
,y
1
) and (x
2
,y
2
) can be calculated
using the formula
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
(i) Distance between the points A(a+b,b−a) and B (a−b,a+b)
=
(a−b−a−b)
2
+(a+b−b+a)
2
=
4b
2
+4a
2
=2
a
2
+b
2
(ii) Distance between the points A(1,−1) and B (−
2
1
,
2
1
)
=
(−
2
1
−1)
2
+(
2
1
+1)
2
=
4
9
+
4
9
=
2
9
=3
2
1
=3
2
2
(iii) Distance between the points A(8,−2) and B (3,−6)
=
(3−8)
2
+(−6+2)
2
=
25+16
=
41
(iv) Distance between the points A(a+b,a−b) and B (a−b,−a−b)
=
(a−b−a−b)
2
+(−a−b−a+b)
2
=
4b
2
+4a
2
=2
a
2
+b
2
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