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The Adjacent Figure Shows a Relationship Between the Sets P and Q. Write this Relation in (I) Set Builder Form (Ii) Roster Form. What is Its Domain and Range? - Mathematics

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प्रश्न

The adjacent figure shows a relationship between the sets P and Q. Write this relation in (i) set builder form (ii) roster form. What is its domain and range?

उत्तर

(i) We have:
5 - 2 = 3

6 - 2 = 4

7 - 2=5

∴ R = \[{(x, y) : y = x - 2, x \in P, y \in Q}\]

(ii) R = {(5, 3), (6, 4), (7, 5)}

(iii) Domain (R) = {5, 6, 7}
Range (R) = {3, 4, 5}

 
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अध्याय 2: Relations - Exercise 2.3 [पृष्ठ २१]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 2 Relations
Exercise 2.3 | Q 19 | पृष्ठ २१

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