Question

Draw a circle of radius 4 cm. Take a point P on it. Without using the centre of the circle, draw a tangent to the circle at point P. [4 MARKS]

Answer 1

Steps: 2 Marks
Construction: 2 Marks

Steps of Construction:
1. Draw a circle of given radius 4 cm.
2. Take a point say P outside the circle and draw a secant PQR to the circle.
3. Draw the perpendicular bisector of PR intersecting PR at S
4. With S as centre and radius RS, draw a semicircle.
5. Draw the perpendicular at Q which cuts the semicircle at T.

6. With P as centre and radius PT, draw an arc cutting the given circle at A and B.
7. Join P to A and P to B. Thus, PA and PB are required tangents.