Ans option d(6,1.732,1)
Explanation
The parametric equation can be written as
x=1+(6-1)*t =1+5t
y=1+(2-1)*t =1+t
z=0
now rotation about x axis about 30 degrees is given as
[1+5t 1 + t 0 1][1 0 0 0;0 cos30 sin30 0;0 -sin30 cos30 0;0 0 0 1] (Homogeneous transformation matrix about x axis)
=[1+5t (1+t)cos30 (1+t)sin30 1]
at t=1 gives
[6 1.732 1 1 ]
thus x,z is given as (6,1.732,1) Ans
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