Home
Class 12
MATHS
Consider the following statements: (i...

Consider the following statements:
(i) Every reflexive relation is antisymmetric
(ii) Every symmetric relation is antisymmetric.
Which one among (i) and (ii) is true?

A

(i) alone is true

B

(ii) alone is true

C

Both (i) and (ii) are true

D

Neither (i) nor (ii) is true

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the following statements: (i) Every reflexive relation is anti-symmetric. (ii) Every symmetric relation is anti-symetric which among i and ii is true?

Assertion and Reason type questions : Consider the following statements,p: Every reflexive relation is a symmetric relation,q: Every anti- symmetric relation is reflexive.Which of the following is/ are true?

Explain the following (i)Reflexive Relaton (ii) symmetric Relation (ii) Anti- symmetaic relation (iv) transitive relation

If a matrix A is symmetric as well as antisymmetric, then which one of the following is correct ?

Consider the following statements in respect of symmetric matrices A and B. I. AB is symmetric II. A^(2)+B^(2) is symmetric Which of the above statements is/are correct ?

Let R be a reflexive relation on a set A and I be the identity relation on A.Then

Consider the following statements in respect of a square matrix A and its transpose A^(T) . I. A+A^(T) is always symmetric II. A-A^(T) is always anti-symmetric Which of the statements given above is/are correct ?