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Question

Find the coordinate of the point on the y axis which at a distance of 10 units from the point (8,4)

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Solution

Let the required point be (0,y)
102=(0+8)2+(4y)2
100=64+16+y28y
16+y28y=36
y28y20=0
y210y+2y20=0
y(y10)+2(y10)=0
y=2 or y=10
Coordinate of the required point be
(0,2) or (0,10)

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