Question

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

Answer 1

{(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)}