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Question
Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then ______.
Options
R = {(x, y) : 0 ≤ x ≤ a, 0 ≤ y ≤ b}
R = {(x, y) : 0 ≤ x < a, 0 ≤ y ≤ b}
R = {(x, y) : 0 ≤ x ≤ a, 0 < y < b}
R = {(x, y) : 0 < x < a, 0 < y < b}
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Solution
Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then R = {(x, y) : 0 < x < a, 0 < y < b}.
Explanation:
Let OABC be a rectangle whose sides a and b are along the positive direction of X and Y respectively.
∴ Clearly, R = {(x, y) : 0 < x < a and 0 < y < b}
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