alleryStart learning →The empty relation on a non-empty set is vacuously symmetric and transitive but not
Asymmetric
Bantisymmetric
Creflexive
Dtransitive
Answer & Solution
Correct answer: C. reflexive
With no pairs at all, the required pairs (a, a) are missing, so reflexivity fails.
Keep practising Sets, Relations and Functions
Browse all Sets, Relations and Functions questions for CA Foundation, or explore more Quantitative Aptitude topics.
Related questions
As x grows large, (4x^3 + x)/(2x^3 - 7) tends toThe limit of (sqrt(x) - 2)/(x - 4) as x approaches 4 isAs x tends to infinity, (3x^2 - 5)/(6x^2 + x) approachesFor f(x) = |x|, the left limit, right limit and f(0) at x = 0 are allA function is continuous at c if the limit of f(x) as x tends to c equalsLet f(x) = x^2 for x < 1 and f(x) = 2x - 1 for x >= 1. At x = 1, f isf(x) = kx + 1 for x <= 2 and f(x) = 3 for x > 2 is continuous at 2 when k isLet f(x) = (x^2 - 9)/(x - 3) for x not equal to 3. For f to be continuous at 3, f(3) must