Construct a line that is tangent to a point on the circle and passes through the point plotted outside the circle.

Anonymous
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Step 1: Find the center of the circle if it has not been given to you
Step 2: Connect the out side point with the centre of the circle.
Step 3: Bisect the line connected between the centre and out side point.
Step 4: Construct a circle with radius of bi-sectional length (bisector to centre or bisector to out side point)
Step 5: Identify the inter sectional points of circle with the original circle at surface.
Step 6: Connect the given point outside the circle to the points on the circle with the straight line.