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The locus of the point P such that PA2+PB2=10 where A=(2,3,4),B=(3,4,2) is

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ctaimg
a
x2+y2+z2−x+y−4z+12=0
b
x2+y2+z2−5x+y−6z+24=0
c
2(x2+y2+z2)−x+y−4z+12=0
d
x2+y2+z2+x−y+4z−12=0
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detailed solution

Correct option is B

P=(x,y,z)using distance formula in given equation


ctaimg

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