1.

For each positve real number k, let C _(k) denotes the circle with centre at origin and radius k units. On a circle C _(k) particle alpha moves k units in the counter-clockwise direction. After completing its motion on C_(k), the particle moves onto the circle C _(k+1) in same well defined manner, where r gt 0. The motion of particle continues in this manner. Let k in l^(+) and r in R, particle moves tangentially from C_(k)to C_(k+r') such that length of tangent is equal to k units itself. If particle starts from teh point (2,0), then

Answer»

the particle will cross positive X-AXIS again for `2 sqrt2 lt x lt 4`
the particle will cross positive x -axis again at `x =2 sqrt2`
the particle will cross positive x-axis again for `4 lt x lt 4 sqrt2
the particle will cross positive x-axis again at `x =3`

Answer :C


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