Let $$A=A1$$,$$A2$$,$$A3$$,$$A4$$,$$A5$$,$$A6$$ be the set of six unit circles with centres $$C1$$,$$C2$$,$$C3$$,……..$$C6arranged$$ as shown in the diagram. The relation R on A is defined by Ai,Aj∈R⇔CiCj≤$$22$$ then

Question

Let $$A=A1$$,$$A2$$,$$A3$$,$$A4$$,$$A5$$,$$A6$$ be the set of six unit circles with centres $$C1$$,$$C2$$,$$C3$$,……..$$C6arranged$$ as shown in the diagram. The relation R on A is defined by Ai,Aj∈R⇔CiCj≤$$22$$ then

Infinity Learn · Accepted Answer

i Ci,$$Ci=0$$≤$$22$$,for $$i=1.2$$..$$.6$$      ⇒ Ai,Ai∈R∀i​      R is reflexive​ii Let Ai,Aj∈R​            ⇒CiCj≤$$22$$​            ⇒CjCi≤$$22$$​            ⇒Aj,Ai∈R​      ⇒R is $$symmetric(iii)$$ We see that $$A1$$,$$A2$$∈R,$$A2$$,$$A3$$∈R, $$butA1$$,$$A3$$∉R.        ⇒R is not transitive

$Let A = \{A_{1}, A_{2}, A_{3}, A_{4}, A_{5}, A_{6}\} be the set of six unit circles with centres C_{1}, C_{2}, C_{3}, \dots \dots . . C_{6}$
arranged as shown in the diagram. The relation R on A is defined by
$(A_{i}, A_{j}) \in R \Leftrightarrow C_{i} C_{j} \leq 2 \sqrt{2} then$

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Let A=A1,A2,A3,A4,A5,A6 be the set of six unit circles with centres C1,C2,C3,……..C6arranged as shown in the diagram. The relation R on A is defined by Ai,Aj∈R⇔CiCj≤22 then

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Ready to Test Your Skills?

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$Let A = \{A_{1}, A_{2}, A_{3}, A_{4}, A_{5}, A_{6}\} be the set of six unit circles with centres C_{1}, C_{2}, C_{3}, \dots \dots . . C_{6}$
arranged as shown in the diagram. The relation R on A is defined by
$(A_{i}, A_{j}) \in R \Leftrightarrow C_{i} C_{j} \leq 2 \sqrt{2} then$