Problem 158 of 7
Verify whether line y = -x - 1 is tangent to the circle using coordinate evidence center (0,0), point (-1,0) on circle of radius 1.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
show radius to point of tangency is perpendicular to line.
Hidden until you reveal it.
Verification must check perpendicular radius-to-line relationship and point-on-circle/line when needed.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the candidate point of tangency.
2. Find the slope of the radius to that point and the slope of the line.
3. Check perpendicularity and that the point lies on both the line and circle.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using only visual contact or only distance without identifying the point of tangency.