If `A,B,C` are three points on `x` axis, `y` axis and `z` axis respectively which are at the distances `a,b,c` from orig

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Q 1317123080.     If `A,B,C` are three points on `x` axis, `y` axis and `z` axis respectively which are at the distances `a,b,c` from origin respectively and P is a point which is equidistant from `A,B,C,O` then the coordinates of `P ` is?
A

`(a,b,c)`

B

`(frac{a}{2}, frac{b}{2}, frac{c}{2})`

C

`(frac{a}{3},frac{b}{3},frac{c}{3})`

D

`(2a,2b,2c)`

HINT

If `P(x,y,z)` be equidistant from `O,A,B` and `C` ,`Rightarrow OP=AP=BP=CP`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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