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35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from A
q) R1=\ (a, p), (b, r) ,(c,\$)\
b) R * 2 = \{(q, b), (c, s), (d, r)\}
c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}
d) R4 = {( a, p), (b, s), (s, b) (q, a)?
q) R1=\ (a, p), (b, r) ,(c,\$)\
b) R * 2 = \{(q, b), (c, s), (d, r)\}
c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}
d) R4 = {( a, p), (b, s), (s, b) (q, a)?
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35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of t...
Understanding Relations between Sets A and B
Sets A and B are defined as follows:
A = {a, b, c, d}
B = {p, q, Y, s}
A relation from A to B is a subset of the Cartesian product A x B, which consists of ordered pairs where the first element is from A and the second element is from B.
Evaluating the Given Relations
Let’s analyze each of the provided relations R1, R2, R3, and R4:
R1 = {(a, p), (b, r), (c, $)}
- Contains (a, p) which is valid.
- (b, r) and (c, $) are invalid since 'r' and '$' are not in B.
- Conclusion: Not a valid relation.
R2 = {(q, b), (c, s), (d, r)}
- (q, b) is invalid since 'q' is not in A.
- (c, s) is valid.
- (d, r) is invalid since 'r' is not in B.
- Conclusion: Not a valid relation.
R3 = {(a, p), (b, r), (c, r), (s, q)}
- (a, p) is valid.
- (b, r) and (c, r) are invalid since 'r' is not in B.
- (s, q) is also invalid since 's' is not in A.
- Conclusion: Not a valid relation.
R4 = {(a, p), (b, s), (s, b), (q, a)}
- (a, p) is valid.
- (b, s) is valid.
- (s, b) is invalid since 's' is not in A.
- (q, a) is invalid since 'q' is not in A.
- Conclusion: Not a valid relation.
Final Thoughts
None of the provided relations are valid from set A to set B. A valid relation must only include pairs where the first element belongs to A and the second element belongs to B.
Sets A and B are defined as follows:
A = {a, b, c, d}
B = {p, q, Y, s}
A relation from A to B is a subset of the Cartesian product A x B, which consists of ordered pairs where the first element is from A and the second element is from B.
Evaluating the Given Relations
Let’s analyze each of the provided relations R1, R2, R3, and R4:
R1 = {(a, p), (b, r), (c, $)}
- Contains (a, p) which is valid.
- (b, r) and (c, $) are invalid since 'r' and '$' are not in B.
- Conclusion: Not a valid relation.
R2 = {(q, b), (c, s), (d, r)}
- (q, b) is invalid since 'q' is not in A.
- (c, s) is valid.
- (d, r) is invalid since 'r' is not in B.
- Conclusion: Not a valid relation.
R3 = {(a, p), (b, r), (c, r), (s, q)}
- (a, p) is valid.
- (b, r) and (c, r) are invalid since 'r' is not in B.
- (s, q) is also invalid since 's' is not in A.
- Conclusion: Not a valid relation.
R4 = {(a, p), (b, s), (s, b), (q, a)}
- (a, p) is valid.
- (b, s) is valid.
- (s, b) is invalid since 's' is not in A.
- (q, a) is invalid since 'q' is not in A.
- Conclusion: Not a valid relation.
Final Thoughts
None of the provided relations are valid from set A to set B. A valid relation must only include pairs where the first element belongs to A and the second element belongs to B.
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35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)?
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35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)?.
35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)?.
Solutions for 35. If A = \{a, b, c, d\} and B = \{p, q, Y, s\} to B? then which of the following are relations from Aq) R1=\ (a, p), (b, r) ,(c,\$)\b) R * 2 = \{(q, b), (c, s), (d, r)\}c) R * 3 = \{(a, p), (b, r), (c, r)(s, q)\}d) R4 = {( a, p), (b, s), (s, b) (q, a)? in English & in Hindi are available as part of our courses for CA Foundation.
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