The relation f: {m, n, p, q} → {11, 12, 13, 14} defined by f = {(m, 11), (n, 12), (p, 13)} is a…

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

Official answer key

Correct option: (d)

Answer: (d) Assertion (A) is false, and Reason (R) is true.