Relations and Functions
Uttar Pradesh Board · Class 12 · Mathematics
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Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. If R = {(x, y) ∈ A × B : x + y = 7}, find the number of ordered pairs in R.
Which of the following relations on set A = {1, 2, 3} are reflexive?
Let f: R → R be defined by f(x) = 3x - 5. Find the value of (f ∘ f)(2).
If R is an equivalence relation on set A = {1, 2, 3, 4, 5} and the equivalence classes are [1] = {1, 3, 5} and [2] = {2, 4}, how many ordered pairs are in R?
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