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Let R = {(x, y): x, y ϵ Z and x2 + y2 ≤ 4}. (i)Write R in roster form. (ii)Find dom (R) and range (R).
Let R = {(x, y): x, y ϵ Z and x2 + y2 ≤ 4}.
(i)Write R in roster form.
(ii)Find dom (R) and range (R).
CBSE | Class 11 | Excercise 2C | Maths | Relations | RS Aggarwal
Let R = {(x, y): x, y ϵ Z and x2 + y2 ≤ 4}.
(i)Write R in roster form.
(ii)Find dom (R) and range (R).

Answer : Given: R = {(x, y): x, y ϵ Z and x2 + y2 ≤ 4}

(i) R is Foster Form is,

R = {(-2, 0), (-1, -1), (-1, 0), (-1, 1), (0, -2), (0, -1), (0, 0), (0, 1), (0, 2), (1, -1), (1, 0), (1,

1), (2, 0)}

(ii) Dom(R) = {-2, -1, 0, 1, 2}

Range(R) = {-2, -1, 0, 1, 2}

i

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