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The relation defined by is a bijective function. Assertion (A): The relation defined by is a…

Mathematics20251 markAssertion-reason

Assertion: The relation $f: \{m, n, p, q\} \to \{11, 12, 13, 14\}$ defined by $f = \{(m, 11), (n, 12), (p, 13)\}$ is a bijective function.

Reason: The function $f: \{m, n, p\} \to \{11, 12, 13, 14\}$ such that $f = \{(m, 11), (n, 12), (p, 13)\}$ is one-one.

Assertion (A): The relation $f: \{m, n, p, q\} \to \{11, 12, 13, 14\}$ defined by $f = \{(m, 11), (n, 12), (p, 13)\}$ is a bijective function. Reason (R): The function $f: \{m, n, p\} \to \{11, 12, 13, 14\}$ such that $f = \{(m, 11), (n, 12), (p, 13)\}$ is one-one.
  • (a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
  • (b)Both Assertion (A) and Reason (R) are true, and Reason (R) is not the correct explanation of Assertion (A).
  • (c)Assertion (A) is true; Reason (R) is false.
  • (d)Assertion (A) is false; Reason (R) is true.

Answer

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Relations and Functions

From ISC 2025 Practice Mathematics, question 36.