In this worksheet, we will practice finding the equation of a tangent to a circle given the coordinates of the circleβs 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:

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

Q3:

Given that is a diameter of the circle , and the coordinates of the points and are and respectively, determine the equation of the tangent to the circle at the point .