Answer
$(1,1,0)$
Work Step by Step
Since, we are given that the parametric equations $x=1+2t; y=1+5t; z=3t$
Equation of plane $x+y+z=2$
Plug all the parametric equations $x=1+2t; y=1+5t; z=3t$
in equation of plane, we have $t=0$
Now the Parametric equations are $x=1+2(0)=1; y=1+5(0)=1; z=3(0)=0$
Hence, the line will meet at the point: $(1,1,0)$