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Let R = {(X, Y) : |X2 − Y2| <1) Be a Relation on Set a = {1, 2, 3, 4, 5}. Write R as a Set of Ordered Pairs.

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प्रश्न

Let R = {(x, y) : |x2 − y2| <1) be a relation on set A = {1, 2, 3, 4, 5}. Write R as a set of ordered pairs.

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उत्तर

R is the set of ordered pairs satisfying the above relation. Also, no two different elements can satisfy the relation; only the same elements can satisfy the given relation.

So, R = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)}

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अध्याय 1: Relations - Exercise 1.3 [पृष्ठ ३०]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 1 Relations
Exercise 1.3 | Q 7 | पृष्ठ ३०

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