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

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प्रश्न

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

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उत्तर

{(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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पाठ 5: Sets and Relations - Exercise 5.2 [पृष्ठ १०३]

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