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2010
Mathematics
JAMB
Find the distance between the points (1/2, 1/2) and (-1/2, -1/2).
A.
1
B.
0
C.
√3
D.
√2
Correct Answer:
√2
Explanation
Let D denote the distance between (1/2, -1/2) then using D = √((x
2
-x
1
)
2
+(y
2
-y
1
)
2
) = √((-1/2-1/2 )
2
+ (-1/2-1/2 )
2
) = √((-1)
2
+(-1)
2
) = √(1+1) = √2
Let D denote the distance between (1/2, -1/2) then using D = √((x
2
-x
1
)
2
+(y
2
-y
1
)
2
) = √((-1/2-1/2 )
2
+ (-1/2-1/2 )
2
) = √((-1)
2
+(-1)
2
) = √(1+1) = √2
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