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Question
ASSERTION (A): The relation f : {1, 2, 3, 4} `rightarrow` {x, y, z, p} defined by f = {(1, x), (2, y), (3, z)} is a bijective function.
REASON (R): The function f : {1, 2, 3} `rightarrow` {x, y, z, p} such that f = {(1, x), (2, y), (3, z)} is one-one.
Options
Both (A) and (R) are true and (R) is the correct explanation of (A).
Both (A) and (R) are true but (R) is not the correct explanation of (A).
(A) is true but (R) is false.
(A) is false but (R) is true.
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Solution
(A) is false but (R) is true.
Explanation:
Assertion is false. As element 4 has no image under f, so relation f is not a function.
Reason is true. The given function f : {1, 2, 3} `rightarrow` {x, y, z, p} is one – one, as for each a ∈ {1, 2, 3}, there is different image in {x, y, z, p} under f.
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