Question

Which of the following statements are never true? Three points are coplanar Two planes meet in exactly one point opposite rays form a line two lines that lie in a parallel planes are parallel two lines meet at exactly two points

Answer 1

Two planes meet in exactly one point is never true.
Two planes intersecting will always meet and form a line, not a point. everything else happens sometimes or always.

Answer 2

⇒When two planes intersect, their intersection is a line.

→So, the Statement

Two planes meet in exactly one point , is Untrue that is never true.

⇒To determine whether a surface is a plane or not, we take two points on the surface, and join them .If the line joining these two points completely lies on the surface,then that surface is said to be Plane.

So, Yes, Three points can be Coplanar.

⇒Yes, when two opposite rays meet at a point they form a line.So,the Statement,opposite rays form a line, is Sometimes true.

⇒It is "Sometimes true" that, two lines that lie in a parallel planes are parallel.

⇒Two lines can meet at one point, infinite number of Points , or the two lines will never intersect.

So, the two lines meet at exactly two points is "Always Untrue Statement".