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Let A = {a, b, c} and R = {(a, a), (b, b), (a, c)}. Write down the minimum number of ordered pairs to be included to R to make it equivalence

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प्रश्न

Let A = {a, b, c} and R = {(a, a), (b, b), (a, c)}. Write down the minimum number of ordered pairs to be included to R to make it equivalence

योग
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उत्तर

Given A = {a, b, c}

R = {(a, a), (b, b), (a, c)}

After including the ordered pairs (c, c), (c, a) to R the new relation becomes

R1 = {(a, a), (b, b), (c, c), (a, c), (c, a)}

R1 is reflexive symmetric and transitive.

∴ R1 is an equivalence relation.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets, Relations and Functions - Exercise 1.2 [पृष्ठ १८]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 1 Sets, Relations and Functions
Exercise 1.2 | Q 3. (iv) | पृष्ठ १८

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