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Find the coordinates of a point on y axi...

Find the coordinates of a point on y axis which are at a distance of `5sqrt(2)`from the point `P (3, 2, 5)`.

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The correct Answer is:
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Let the required point be `A-=(0,y,0)` on y-axis.
Given `P-=(3,-2,5)`
and `AP=5sqrt(2)`
`implies AP^(2)=50`
`implies (0-3)^(2)+(y+2)^(2)+(0-5)^(2)=50`
`implies (y+2)^(2)=16`
`implies y+2= +-4`
`implies y+2=4 " or" y+2 =-4`
`implies y=2 " or" y= -6`
`therefore` Required point `-=(0,2,0) " or" (0,-6,0)`
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