#### Draw a circle of radius 3 cm. Mark its centre as C and mark a point P such that CP = 7 cm. Using a ruler and compasses only, Construct two tangents from P to the circle.

**Solution:**

#### Draw a line AQ = 7 cm. Mark a point P on AQ such that AP = 4 cm. Using a ruler and compasses only, construct:

(i) a circle with AP as diameter.

(ii) two tangents to the above circle from the point Q.

**Solution:**

**More Solutions:**

- The length of the tangent to a circle is 24 cm and the distance of Q.
- If the angle between two radii of a circle is 130°.
- If tangents PA and PB from an exterior point P to a circle.
- At one end A of a diameter AB of a circle of radius 5 cm.
- AB is a chord of the circle such that ∠ACB = 50°.
- PA and PB are tangents to a circle with centre O.