F.3,,,wt is the coordinates of U?

2008-07-30 11:26 pm
2 points S(4,8) and T(-2,-4) are given. If U is a point on the y-axis so that SU=TU, then the coordinates of U are....?

回答 (1)

2008-07-30 11:45 pm
✔ 最佳答案
As is a point on the y-axis,
Let the coordinates of U be (0,y)
SU = TU (given)
√[ (y﹣8)2 + (0﹣4)2 ] = √{ [y﹣(-4)]2 + [0﹣(-2)2] }
√[ (y﹣8)2 + 16 ] = √[(y + 4)]2 + (0 + 2)2]
(y﹣8)2 + 16 = (y + 4)2 + 4
y2﹣16y + 64 + 16 = y2 + 8y + 16 + 4
60 = 24y
y = 5 / 2
∴the coordinates of U is (0, 5/2)

2008-07-30 15:50:54 補充:
If a point is on the y-axis,then its x-coordinates should be 0.


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