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Find the Inverse Relation R−1 in Each of the Cases:(Iii) R is a Relation from {11, 12, 13} to (8, 10, 12] Defined By Y = X − 3. - Mathematics

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प्रश्न

Find the inverse relation R−1 in each of the cases:

(iii) R is a relation from {11, 12, 13} to (8, 10, 12] defined by y = x − 3.

 

उत्तर

(iii) R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x − 3.
x belongs to {11, 12, 13} and y belongs to {8, 10, 12}.
Also, 11 − 3 = 8 and 13 − 3 = 10
∴ R = {(11, 8), (13,10)}
Or,
R−1 = {(8, 11), (10,13)}

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अध्याय 2: Relations - Exercise 2.3 [पृष्ठ २०]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 2 Relations
Exercise 2.3 | Q 4.3 | पृष्ठ २०

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