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Question

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



A

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B
2
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C
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D
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Solution

The correct option is A


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)249+4914y+y2=25+16+8y+y222y=57y=5722


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