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Question

M (-2, y) is a point equidistant from the coordinates A(5,7) and B(3,-4). Find the value of y.




A
5722
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B
2
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C
3619
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D
4723
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Solution

The correct option is C 5722

Point M (-2, y) is equidistant from the points A (5, 7) and B(3 , -4).

Distance AM = Distance BM
((xaxm)2+(yaym)2)) = ((xbxm)2+(ybym)2))
(5(2))2 + (7y)2 = (3(2))2 + (4y)2
49+4914y+y2=25+16+8y+y2
22y=57
y=5722


Mathematics

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