Chapter 14.4, Problem 18PSC

To determine

To construct a line $CD$ that is parallel to $AB$ and tangent to the given circle.

Explanation of Solution

Given:

The given figure is −

  

Calculation:

The following figure shows the construction ofa line $CD$ that is parallel to $AB$ and tangent to the given circle-

  

Step 1- Draw the perpendicular from the center of the circle to the line segment AB.

Step 2- The point where the perpendicular cuts the circle, use that point to draw the tangent CD for the given circle.

Step 3- These two lines are parallel i.e. $AB\parallel CD$ , where CD is the tangent to the circle.