If origin is the center of a circle with radius 17 units, find the coordinates of any four points on the circle which are not on the axes. (Use the Pythagorean triplets)

Formula used:

Let the point be A (x, y)

Center is at origin (0, 0)

Distance of OA

⇒ OA = √((x – 0)² + (y – 0)²)

⇒ OA = √ ((x)² + (y)²)

⇒ OA = √ x² + y²

Squaring both sides

⇒ (0A)² = x² + y²

⇒ (17)² = x² + y²

Using Pythagorean triplet

x and y can 8 and 5 or vice–a–versa.

∴ x = ± 8 or ±15

y = ± 8 or ±15

Hence, coordinate on circle other than coordinates on axis are

(8, 15), (–8, –15), (–8, 15) and (8, –15)