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If R = {(X, Y) : X2 + Y2 ≤ 4; X, Y ∈ Z} is a Relation On Z, Write the Domain Of R.

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प्रश्न

If R = {(x, y) : x2 + y2 ≤ 4; x, y ∈ Z} is a relation on Z, write the domain of R.

योग
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उत्तर

Domain of R is the set of values of x satisfying the relation R.
As x must be an integer, we get the given values of x:

0, ±1, ±2

Thus, 

Domain of R = {0, ±1, ±2}

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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 2 | पृष्ठ ३०

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