Final answer:
The locus of the equation x² + y² - 10y + 24 = 0 is a circle with center (0, 5) and radius 1 unit.
Step-by-step explanation:
The given equation, x² + y² - 10y + 24 = 0, represents a circle in the coordinate plane. To identify the locus of the equation, we need to rewrite it in the standard form of a circle equation, (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.
By completing the square, we can rewrite the equation as (x - 0)² + (y - 5)² = 1².
Therefore, the locus of the equation x² + y² - 10y + 24 = 0 is a circle centered at the origin (0, 5) with a radius of 1 unit.