1.

The position of a particle moving in space varies with time `t` according as `:-` `x(t)=3 cosomegat` `y(t)=3sinomegat` `z(t)=3t-8` where `omega` is a constant. Minimum distance of particle from origin is `:-`A. `1` unitB. `2` unitC. `3` unitD. `4` unit

Answer» Correct Answer - C
Distance from origin, `r=sqrt(x^(2)+y^(2)+z^(2))`
`=sqrt(9cos^(2)omegat+9sin^(2)omegat+(4t-8)^(2)`
`=sqrt(9+(4t-8)^(2)`
For minimum `t,4t-8=0rArr1=2` unit
`rArrr_(min)=3units`


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