Question

You graph the circle (x + 3)? + (y - 2)? = 25 and the line x = -8 in a coordinate plane. Which statement is

true?
A. The line is a tangent of the circle.
• B. The line is a secant of the circle.
• C. The line is a secant that contains the diameter of the circle.
• D. The line does not pass through the circle.

Answer 1

D

Explanation:

The circle has center (-3, 2) and radius 5. The line is a vertical line passing through the point (-8, 0).

We can see from the graph that the line does not intersect the circle at any point. Therefore, the correct answer is:

D. The line does not pass through the circle.