(c) (1,1/2),(1/3,-1/4)
find the distance between the following pairs of points.
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Answer:
Step-by-step explanation:
Distance between two points (x
1
,y
1
) and (x
2
,y
2
) is
(x
1
−x
2
)
2
+(y
1
−y
2
)
2
(i) Distance between(2,3) and (4,1) is
=
(2−4)
2
+(3−1)
2
=
(−2)
2
+(2)
2
=
4+4
=
8
=2
2
(ii) Distance between (−5,7) and (−1,3) is
=
(−5−(−1))
2
+(7−3)
2
=
(−4)
2
+(4)
2
=
16+16
=
32
=4
2
(iii )Distance between (a,b) and(−a,−b) is
=
(a−(−a))
2
+(b−(−b))
2
=
(2a)
2
+(2b)
2
=
4a
2
+4b
2
=2
a
2
+b
2
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