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Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A is
- a)reflexive
- b)symmetric
- c)transitive
- d)an equivalence relation
Correct answer is option 'C'. Can you explain this answer?
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Let A be the non – empty set of children in a family. The relati...
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Let A be the non – empty set of children in a family. The relati...
-negative number. We want to show that if A is irrational, then $\sqrt{A}$ is also irrational.
Assume that $\sqrt{A}$ is rational. Then there exist integers $p$ and $q$ such that $\sqrt{A} = \frac{p}{q}$ where $p$ and $q$ have no common factors. Squaring both sides, we get $A = \frac{p^2}{q^2}$. Since $p$ and $q$ have no common factors, this means that $p^2$ and $q^2$ have no common factors either.
But this implies that $A$ is rational, which contradicts our assumption that $A$ is irrational. Therefore, we must conclude that if $A$ is irrational, then $\sqrt{A}$ is also irrational.
Assume that $\sqrt{A}$ is rational. Then there exist integers $p$ and $q$ such that $\sqrt{A} = \frac{p}{q}$ where $p$ and $q$ have no common factors. Squaring both sides, we get $A = \frac{p^2}{q^2}$. Since $p$ and $q$ have no common factors, this means that $p^2$ and $q^2$ have no common factors either.
But this implies that $A$ is rational, which contradicts our assumption that $A$ is irrational. Therefore, we must conclude that if $A$ is irrational, then $\sqrt{A}$ is also irrational.
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Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A isa)reflexiveb)symmetricc)transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer?
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Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A isa)reflexiveb)symmetricc)transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A isa)reflexiveb)symmetricc)transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A isa)reflexiveb)symmetricc)transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer?.
Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A isa)reflexiveb)symmetricc)transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A isa)reflexiveb)symmetricc)transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A be the non – empty set of children in a family. The relation ‘x is a brother of y’ in A isa)reflexiveb)symmetricc)transitived)an equivalence relationCorrect answer is option 'C'. Can you explain this answer?.
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