State which of the following statement is true ?

Options

A. The line `(x-x_(1))/(a)=(y-y_(1))/(b)=(z-z_(1))/(c)` is parellel to x-axis, is `ane0` and `b=c=0` is satisfied.
B. The line `(x-x_(1))/(a)=(y-y_(1))/(b)=(z-z_(1))/(c)` is passing through the origin, if `(x_(1))/(a)=(y_(1))/(b)=-(z_(1))/(c)` is satisfied.
C. The vector equation of a line passing through the points (1,0,0) and (0,5,0) is given by `vec(r)=hat(i)+t(-hat(i)-5hat(j)+3hat(k))`
D. The line `x=3+2t,y=5,z=3` is parallel to y-axis.

Answer

A