Question

1. Determine if AB is tangent to the circle. *
18
10.8
B
A
13.5

Answer 1

To determine if AB is tangent to the circle, we need to check if AB is perpendicular to the radius of the circle at point A.

Step-by-step explanation:

To determine if AB is tangent to the circle, we need to check if AB is perpendicular to the radius of the circle at point A. If AB is perpendicular to the radius, then it is tangent to the circle. We can use the concept of slopes to check this.

1. Calculate the slope m of the line AB using the formula m = (By - Ay) / (Bx - Ax).
2. Calculate the slope of the radius of the circle at point A using the formula m_r = (y - Ay) / (x - Ax), where (x, y) are the coordinates of the center of the circle.
3. If the slopes m and m_r are negative reciprocals of each other, then AB is tangent to the circle.

In this case, we don't have the coordinates of the center of the circle, so we cannot determine if AB is tangent to the circle based on the given information.