What is a tangent to a circle?
Finding Equations of Tangents to a Circle

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A line that intersects the circle at two points
A line that passes through the center of the circle
A line that touches the circle at exactly one point
A line that is parallel to the circle
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of a circle's equation?
x^2 + y^2 = r^2
x^2 - y^2 = r^2
x^2 + y^2 = r
x + y = r^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the radius from the equation x^2 + y^2 = 25?
Divide 25 by 2
Multiply 25 by 2
Subtract 5 from 25
Take the square root of 25
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the equation of a tangent?
Find the y-intercept of the tangent
Calculate the gradient of the radius
Identify the center of the circle
Determine the length of the radius
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the gradient of the tangent if you know the gradient of the radius?
Add 1 to the gradient of the radius
Multiply the gradient of the radius by 2
Take the negative reciprocal of the gradient of the radius
Square the gradient of the radius
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in determining the equation of the tangent?
Determine the circumference of the circle
Calculate the area of the circle
Substitute the known point into the line equation
Find the midpoint of the radius
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-intercept of the tangent line in the example provided?
4
25/4
5
25
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