# Constructions

#### Question 3:

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q. Give the justification of the construction.

#### Answer:

The tangent can be constructed on the given circle as follows.

**Step 1**

Taking any point O on the given plane as centre, draw a circle of 3 cm radius.

**Step 2**

Take one of its diameters, PQ, and extend it on both sides. Locate two points on this diameter such that OR = OS = 7 cm

**Step 3**

Bisect OR and OS. Let T and U be the midâ€¦

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