QUESTION $8$

If $(a,b,c)$ is a point on the ellipsoid $3x^2+y^2+3z^2=1$ where the tangent plane is parallel to the plane $-6x+y+3z=0,$ then $a+b+c=$

a$.-1$

b$.\frac{1}{2}$

c$.0$

d$.-\frac{1}{4}$

e$.1$