Home › Bihar Board Class 12 (Commerce) › Mathematics › Relations and Functions › For R = {(a, b): a <= b^2} on R, which a fails (…
For R = {(a, b): a <= b^2} on R, which a fails (a, a) in R?
A-3
B1/2
C1
D2
Answer & Solution
Correct answer: B. 1/2
For a = 1/2 we get a^2 = 1/4, which is smaller than 1/2, so (1/2, 1/2) is not in R and R is not reflexive.
Related questions
Which two relations on a set A are called the extreme relations?If f(4) = 5 and g(5) = 11, what is gof(4)?A function that is not one-one is described by which term?How are functions related to the general idea of a relation?A relation R is transitive when (a1, a2) and (a2, a3) in R imply what?The empty relation and the universal relation are together known as what?The inverse g of an invertible f : X → Y satisfies which pair of equations?For f : N → Y with f(x) = 4x + 3 onto Y, which formula gives the inverse g(y)?