CUET UG · Mathematics / Applied Mathematics (Domain)
Relations & Functions
Reflexive, symmetric, transitive and equivalence relations; one-one and onto functions; composition.
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Take a full mock →Q1 · Relations & Functions · MEDIUM
Let A = {1, 2, 3, 4} and relation R on A is defined by R = {(1,1), (2,2), (3,3), (4,4), (1,2), (2,1)}. Which of the following properties does R satisfy?
Q2 · Relations & Functions · EASY
Let f: R → R be defined by f(x) = 3x + 5. Then f is:
Q3 · Relations & Functions · EASY
If f: R → R is defined by f(x) = x² and g: R → R is defined by g(x) = x + 3, then (gof)(2) equals:
Q4 · Relations & Functions · MEDIUM
Consider the relation R on the set A = {1, 2, 3, 4, 5} defined by R = {(a, b): |a - b| is divisible by 2}. How many ordered pairs does the relation R contain?
Q5 · Relations & Functions · MEDIUM
Let A = {1, 2, 3} and B = {4, 5}. If f: A → B is defined by f(x) = x + 3, then which of the following is true?