Maharashtra State BoardHSC Commerce 11th
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Express {(x, y) / x2 +y2 = 100 where x, y ∈ W} as a set of ordered pairs. - Mathematics and Statistics

Sum

Express {(x, y) / x2 +y2 = 100 where x, y ∈ W} as a set of ordered pairs.

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Solution

{(x, y) / x2 +y2 = 100 where x, y ∈ W}
We have, x2 + y2 = 100
When x = 0 and y = 10,
x2 + y2 = 02 + 102 = 100
When x = 6 and y = 8,
x2 + y2 = 62 + 82 = 100
When x = 8 and y = 6,
x2 + y2 = 82 + 62 = 100
When x = 10 and y = 0,
x2 + y2 = 102 + 02 = 100
∴ Set of ordered pairs
= {(0, 10), (6, 8), (8, 6), (10, 0)}

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