contact point and point of intersection

Question

I am just unable to understand the definitions of contact point and point of intersection.My doubts can be summed up into the following two questions :

1) Suppose $f(x)=x^2$ and $g(x)=0$ are two functions. Can we say that the two functions intersect at $x=0$.

2) Suppose $f(x)=x^2$ and $g(x)=x$ are two functions. Can we say that the two functions have a point of contact at $x=0$.

Just a yes or no will do but I don't want guesses.

Answer 1

Now, I think I have understood the facts, thanks to the numerous comments.

What I now understand is that a contact point can also be called a point of intersection. So in point (1) of my question, the point can be said as a contact point or a point of intersection.

Also, in point (2) of my question, the point is a point of intersection but not a point of contact.

Any further suggestions are always welcome.