Question

Point A lies on the circle and has an x-coordinate of 1. Which is the correct calculation of the y-coordinate of point A?

A. ( (1 - 2²)² + (0 - 1)² )

B. ( (0.0 - 2.0)² + (1 - 2)² )

C. ( (0 - 1)² + (1 - 2)² )

D. ( (0 - 2)² + (1 - 2)² )

Answer 1

The calculation of the y-coordinate of point A on a circle with an x-coordinate of 1.

Step-by-step explanation:

The correct calculation of the y-coordinate of point A can be found using the equation of a circle. The equation of a circle is given by x² + y² = r², where (x, y) are the coordinates of a point on the circle and r is the radius of the circle. Since point A has an x-coordinate of 1, we can substitute it into the equation and solve for the y-coordinate:

x² + y² = r²

1² + y² = r²

y² = r² - 1²

y = ±√(r² - 1²)

Since we don't know the radius of the circle, we cannot calculate the exact value of the y-coordinate of point A. Therefore, none of the given options A, B, C, or D accurately represent the calculation of the y-coordinate of point A.