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Question

P and Q are two points lying on the line joining the points A(12,8) and B(−2,6) such that AP=PQ=QB. Then the midpoint of PQ is

A
(7,1)
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B
(9,3)
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C
(6,4)
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D
(5,7)
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Solution

The correct option is D (5,7)

Let O be the mid point of PQ.
It is given that AP=PQ=BQ
Hence, the midpoint of PQ is same as the midpoint of AB, i.e. O

Therefore, coordinates of O are
O(1222,8+62)O(5,7)

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