If A is a non-empty set, then which of the following is false? p: There is at least one reflexive relation on A q: There is at least one symmetric relation on A

JEE Main Mathematics question

If is a non-empty set, then which of the following is false? : There is at least one reflexive relation on : There is at least one symmetric relation on

(A) alone
(B) alone
(C)Both and
(D)Neither nor Correct

Answer: (D)

Solution

is both reflexive and symmetric, so and are true; neither is false.

Question ID VK-003244