हिंदी

Let a = {3, 5, 7}, B = {2, 6, 10} and R Be a Relation from a to B Defined by R = {(X, Y) : X and Y Are Relatively Prime}. Then, Write R and R−1.

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प्रश्न

Let A = {3, 5, 7}, B = {2, 6, 10} and R be a relation from A to B defined by R = {(x, y) : x and y are relatively prime}. Then, write R and R−1.

योग
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उत्तर

R = {(x, y) : x and y are relatively prime}
Then,

R = {(3, 2), (5, 2), (7, 2), (3, 10), (7, 10), (5, 6), (7, 6)}

So, R-1 = {(2, 3), (2, 5), (2, 7), (10, 3), (10, 7), (6, 5), (6, 7)}

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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 9 | पृष्ठ ३०

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