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The equation of motion of a point in space is x=2t,y=4t,z=4t, where ‘t’ is measured in hours and the coordinates of moving point in kilometers. The distance of the point from the starting point O (0,0,0) at the end of 10hours is

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ctaimg
a
20 km
b
40 km
c
60 km
d
55 km
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detailed solution

Correct option is C

OP=4t2+16t2+16t2t=10hors


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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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