Question

two lines and a point are guaranteed to be coplanar if:
a. they are near each other.
b. they dont lie in the same plane.
c. they never intersect.
d. they lie in the same plane.

Explanation:

Coplanar means existing in the same plane. So two lines and a point are guaranteed to be coplanar if they lie in the same plane. Option A (being near) doesn't define coplanarity. Option B says they don't lie in the same plane, which is non - coplanar. Option C (never intersect) can be skew lines (non - coplanar) or parallel lines (coplanar), so it doesn't guarantee coplanarity.

Answer:

D. They lie in the same plane.