
Intersection of a Circle and a Line Quiz

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the possible outcomes when a line intersects a circle?
Two points, three points, or four points
No intersection, one point, or three points
One point, two points, or three points
No intersection, one point, or two points
Tags
CCSS.HSA.REI.C.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the intersection of a circle and a line?
Solve the quadratic equation
Graph the circle and line
Solve the linear equation for one variable
Find the radius of the circle
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After solving the linear equation, what is the next step?
Substitute the value into the circle's equation
Graph the solutions
Solve for the radius
Check for extraneous solutions
Tags
CCSS.HSA.REI.C.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of equation is formed after substituting the linear solution into the circle's equation?
Cubic equation
Exponential equation
Quadratic equation
Linear equation
Tags
CCSS.HSA.REI.C.7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of factoring the quadratic equation in this context?
To simplify the linear equation
To find the radius of the circle
To determine the slope of the line
To find the y-values of the intersection points
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do you do after finding the solutions to the quadratic equation?
Graph the solutions
Check for extraneous solutions
Solve for the radius
Substitute them back into the linear equation
Tags
CCSS.HSA.REI.C.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the quadratic equation solutions are y-values, what should you do next?
Substitute them into the linear equation
Solve for the radius
Substitute them into the circle's equation
Graph the solutions
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coordinates of the intersection points found in the example?
(-3, -5) and (5, 3)
(3, 5) and (-5, -3)
(-5, 3) and (3, -5)
(5, -3) and (-3, 5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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