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प्रश्न
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.
विकल्प
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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उत्तर
(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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