A point (2, y) lies on the unit circle such that r=-1. What is the y-coordinate for this point?

1 answer

The equation for a point on the unit circle is given by x^2 + y^2 = 1. Since the x-coordinate is 2 and the radius is -1, we can substitute these values into the equation:

(2)^2 + y^2 = 1
4 + y^2 = 1
y^2 = -3

Since the square of any real number cannot be negative, there are no real solutions for y.