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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 B

5722


Point M (-2, y) is equidistant from the 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 + (4yb)2
49+4914y+y2 = 25+16+8y+y2
22y=57
y=5722


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