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Question

The point equidistant from the points (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is

A
(a3,b3,c3)
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B
(a,b,c)
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C
(a2,b2,c2)
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D
(4a,4b,4c)
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Solution

The correct option is C (a2,b2,c2)
Let point is (α,β,γ)(αa)2+β2+γ2=α2+(βb2)+γ2=α2+β2+(γc)2=α2+β2+γ2weget,α=a2,β=a2,γ=c2
Required point is(a2,b2,c2)

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