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

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

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

Answer»

{(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)}