Question

Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.

Answer 1

Steps of Construction:

Step 1: Draw a circle with centre U with radius 3.3 cm, Mark any point P on it.

Step 2: Draw chord PQ = 6.6 cm (PQ is the diameter of the circle). 

Step 3: Draw rays UX and UY.

Step 4: Draw line l perpendicular to ray UX through point P.

Step 5: Draw line m perpendicular to ray UY through point Q.

Here, line l and line m are the required tangents to the circle at points P and Q, respectively.
It can be observed that the tangents l and m are parallel to each other.