Math

# 10. Draw a circle with centre O and radius 3 cmMark a point P on the circle. At P, construct atangent to the circle. Extend OP to meet thecircle in Q. At Q, construct another tangentto the circle. What can you say about the twotangent​

Step 1: Draw a circle with centre O and radius 3 cm using a compass.

Step 2: Draw a secant passing through the centre. Mark points P and Q on opposite sides of the centre at a distance of 7 cm from O.

Step 3: Place the compass on P and draw two arcs on opposite sides of OP. Now place the compass on O and draw two arcs intersecting the arcs drawn from point P.

Step 4: Join the intersection points of the arcs to obtain the perpendicular bisector of OP. Mark the mid point of OP as M

1

Step 5: From M

1

draw a circle with radius =M

1

P=M

1

O

Step 6: Mark the intersection points of the circle drawn from M

1

with the circle drawn from O as A and B.

Step 7: Join P−A and P−B

Step 8: Repeat steps 3 to 7 for point Q and obtain tangents QC and QD

PA,PB,QC and QD are the required tangents.

solution

251