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If R = {(X, Y) : X + 2y = 8} is a Relation on N By, Then Write the Range of R.

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प्रश्न

If R = {(x, y) : x + 2y = 8} is a relation on N by, then write the range of R.

योग
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उत्तर

R = {(x, y) : x + 2y = 8, x, y ∈ N}
Then, the values of y can be 1, 2, 3 only.
Also, y = 4 cannot result in x = 0 because x is a natural number.

Therefore, range of R is {1, 2, 3}.

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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 5 | पृष्ठ ३०

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