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Question

Given that the coordinates of points A and B are (3,2) and (9,7) respectively, find the following without using squared paper.
(i) Coordinates of mid-point of AB.
(ii) Distance between A and B.

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Solution

(i)
By using mid-point formula midpoint P(let say) of A and B will be,
P=(3+92,2+72)=(62,92)=(3,4.5)

(ii)
By using the distance formula,
AB=(9+3)2+(72)2=122+52=144+15=169=13 units

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