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Question

If the sum of the squares of the distance of a point from the three co-ordinate axes be 36,then its distance from origin


A

6

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B

32

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C

23

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D

None of these

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Solution

The correct option is B

32


Let P(x.y,z). Now under given condition we get [(x2+y2)]2+[(y2+z2)]2+[(z2+x2)]2=36
x2+y2+z2=18
Then distance from origin to the point (x, y, z) is
x2+y2+z2=18=32.


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