Question

Two planes intersect in exactly one point.
a. always
b. sometimes
c. never

Answer 1

Two planes intersect along a line or not at all if they're parallel, thus they never intersect in exactly one point in three-dimensional space.

Step-by-step explanation:

The statement 'Two planes intersect in exactly one point' is not correct. In geometrical terms, particularly in three-dimensional space, two planes can intersect in different ways. When two planes intersect, they typically do so along a line where all points on that line are common to both planes. Hence, the correct answer is 'c. never' because two planes cannot intersect at exactly one point; they intersect along a line if they are not parallel.

Answer 2

Option c - never

Step-by-step explanation:

Given : Two planes intersect in exactly one point.

Solution : Two planes never intersect in exactly one point.

Because, If two planes intersect, then their intersection is a line.

and a line consist of two points.

As shown in the figure attached.

There are two planes G and H and their intersection is a line l.

And the line l consist of two points.

Therefore, Option c is correct - Never