Question

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct a pair of tangents to the circle. [5 Marks]

Answer 1

Steps of Construction:
Step I: With O as a centre and radius equal to 6 cm, a
circle is drawn. [1 Mark]
Step II: A point P at a distance of 10 cm from the
centre O is taken. OP is joined. [1 Mark]

Step III: Perpendicular bisector of OP is drawn and
it intersects OP at M. [1 Mark]
Step IV: With M as a centre and OM as a radius, a
circle is drawn intersecting the previous circle
at Q and R. [1 Mark]
Step V: PQ and PR are joined. Thus, PQ and PR are the
tangents to the circle. [1 Mark]