In this worksheet, we will practice finding the equation of a tangent to a circle using the coordinates of the circle’s center and a point of tangency.

Q1:

Suppose that
is a diameter of a circle center .
If , what is the general equation of the tangent to the circle at ?

A

B

C

D

Q2:

A circle with center has a diameter , where is on the circumference.
Given that the coordinates of the points and are and
, respectively, determine the equation of the tangent to the circle at the point .

A

B

C

D

Q3:

Suppose that
is a diameter of a circle center .
If , what is the general equation of the tangent to the circle at ?

A

B

C

D

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