Question

A line, and a point outside the line are in exactly one plane or two planes intersect in a plane. T F → T F T → T F F → F T T → T

Answer 1

Answer: The correct option is

(A) T F → T.

Step-by-step explanation: We are given to select the truth value statement for the following compound proposition :

A line and a point outside the line are in exactly one plane OR two planes intersect in a plane.

Let us consider that

p : A line and a point outside the line are in exactly one plane

and

q : Two planes intersect in a plane.

We know that the statement p is TRUE and the statement q is FALSE.

Since p and q are connected by OR, so the result will be TRUE iff one of p or q is TRUE.

Therefore, the truth value statement is

p q p or q

T F T

Thus, option (A) is CORRECT.