Step-by-step explanation:
The equation for a circle centered at the origin is:
Where r is the radius of the circle.
For this problem it says that it contains point (0, 4). Therefore the radius of the circle is 4 and the equation is:
If we replace the given point into the equation and the equality is true, then the point lies on the circle:
Answer:
Yes, because the equation for the circle is x² + y² = 16 and (-1)² + (√15)² = 16