Circle and Line Intersections

The video tutorial covers the intersection of circles and lines, explaining the possible scenarios: no intersection, one point of tangency, or two points of intersection. It provides instructions on how to graph circles and lines, using specific examples to illustrate cases with no intersection and one intersection point. The tutorial emphasizes understanding the graphing process and identifying intersection points.

What is the term used when a circle and a line touch at exactly one point?

• Secant

• Diameter

• Tangent

• Chord

Tags

CCSS.HSG.CO.A.1

How many points of intersection can a circle and a line have?

• Only two

• Only one

• Zero, one, or two

• One or two

Tags

CCSS.HSG.GPE.A.1

What is the center of a circle with the equation (x-0)^2 + (y-0)^2 = 4?

• (0, 0)

• (4, 4)

• (2, 2)

• (1, 1)

Tags

CCSS.HSG.GPE.A.1

What is the radius of a circle with the equation (x-0)^2 + (y-0)^2 = 4?

• 3

• 1

• 2

• 4

In the example where the line equation is y = 2x - 5, how many points of intersection are there with the circle?

• Three

• Two

• One

• Zero

Tags

CCSS.HSA.REI.C.7

What is the equation of the line that has no points of intersection with the circle in the example?

• y = x + 5

• y = -2x + 5

• y = 2x - 5

• y = 3x - 5

Tags

CCSS.HSG.GPE.A.1

What is the center of the circle with the equation (x-3)^2 + (y-2)^2 = 9?

• (3, 2)

• (2, -3)

• (2, 3)

• (3, -2)

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle with the equation (x-3)^2 + (y-2)^2 = 9?

• 5

• 2

• 3

• 4

In the example with the horizontal line y = 5, how many points of intersection are there with the circle?

• Three

• Two

• One

• Zero

Tags

CCSS.HSA.REI.C.7

What is the point of intersection between the circle and the line y = 5?

• (-5, 3)

• (5, 3)

• (3, -5)

• (3, 5)

Tags

CCSS.HSA.REI.C.7