Step 1: Understand the given hints in the question and note down the given

equation.

Step 2: Find the center and radius of the circle

Skill 1: Compare the given equation with the Standard Form of circle

equation.

EXAMPLE: (x-5)^2+\left(y-3\right)^2=9

[FORMULA: Compare it with (x - h)^2 + (y - k)^2 = r^2

Where center (h, k) and radius r Identify the r, h and k values.

(h, k) = (5, 3), r=3

Step 3: Construct a line that is tangent to a point on the circle and passes through the origin.

EXAMPLE: Therefore, the center is located at(5, 3) and the radius is three.

Plotting the circle and tangent line to the origin