Final answer:
The contrapositive and biconditional conditionals are also false.
Therefore, the correct answer is: option c) Contrapositive and biconditional
Step-by-step explanation:
In a conditional statement, the inverse and contrapositive are related to the original statement.
The inverse of a conditional statement switches the hypothesis and conclusion and negates both.
The contrapositive of a conditional statement switches the hypothesis and conclusion and negates both.
In this case, if the original statement p-a is true and its converse q-p is false, it means that a and p are related.
Therefore, the contrapositive, which is based on the relation of a and p, is also false.
The biconditional, on the other hand, relates p and a in both directions, so if the original statement is true and its converse is false, it means that the biconditional is also false. Therefore, the answer is c) Contrapositive and biconditional.