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Q.

The locus of a point for which the sum of the squares of the distance from the coordinate planes is 5 units is

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a

x + y + z = 4

b

x + y + z = 2

c

$x^{2} + y^{2} + z^{2} = 16$

d

$x^{2} + y^{2} + z^{2} = 5$

answer is D.

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Detailed Solution

Let $P (x, y, z)$ be any point on the locus

Given that the locus of a point for which the sum of the squares of the distance from the coordinate planes is 5 units

it implies that $x^{2} + y^{2} + z^{2} = 5$

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