Relations and Functions (Class 11) · JEE Preparation Mathematics
Let A = {1, 2, 3}, B = {a, b}, and R = {(1, a), (2, b), (3, a)}. Which statement is correct?
Practice question from Relations and Functions (Class 11) (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-654944
Let A = {1, 2, 3}, B = {a, b}, and R = {(1, a), (2, b), (3, a)}. Which statement is correct?
- A.R is not a function from A to B.
- B.The range of R is {a}.
- C.R is a function from A to B and its range is {a, b}.Correct answer
- D.The range of R is {1, 2, 3}.
Solution
Each element of A is related to exactly one element of B, so R is a function from A to B. The range consists of the actual output values, namely {a, b}.
More from Relations and Functions (Class 11)
- For the function f: R → R defined by f(x) = x², which statement is correct?
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- Let f: R → R be defined by f(x) = (x − 1)² + 2. Find the range of f and state whether f is one-one.
- If A = {1, 2} and B = {a, b, c}, how many relations can be defined from A to B?
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