Question 1 (1 point)
Given a circle with center $(0,3)$ and a radius of 4 , which of the following points do not lie on the circle?
Answer
If the equation holds true, then the point lies on the circle. If the equation does not hold true, then the point does not lie on the circle.
Step 1 ：Given the center of the circle is at point (0,3) and the radius is 4, the equation of the circle is \((x-0)^2+(y-3)^2=4^2\), which simplifies to \(x^2+(y-3)^2=16\).
Step 2 ：For a point to lie on the circle, it must satisfy the equation of the circle. So, we substitute the coordinates of the given point into the equation of the circle.
Step 3 ：If the equation holds true, then the point lies on the circle. If the equation does not hold true, then the point does not lie on the circle.
