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P is a point such that the sum of the squares of its distances from the planes x+y+z=0,  x+y2z=0,xy=0 is 5 then the locus of  P is

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a
x2+y2+z2=10
b
x2+y2+z2=25
c
x2+y2+z2=5
d
x2+y2+z2=50

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detailed solution

Correct option is C

x1+y1+z132+x1+y1−2z162+x1−y122=5⇒x2+y2+z2=5

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