Question

i Drawa circle with centre O and radius 3.5 cm and a circle with centre P and
radius 2.5 cm. Let these two circles intersect each other at points A and B.
Draw a line CD which touches the circle with centre O at point C and the
circle with centre P at point D. Find m

Answer 1

Answer:

Step-by-step explanation:Steps of Construction:

1. Draw a circle of radius 3.5 cm taking O as the center.

2. Extend any diameter of the circle. On the extended diameter, mark two points in two directions, A and B such that OA = OB = 5 cm.

3. Draw perpendicular bisector of OA. The bisector cuts OA at P.

4. Draw perpendicular bisector of OB. The bisector cuts OB at Q.

5. Taking P as center and radius equal to length OP or PA, draw a circle.

6. The two circles intersect each other at K and L.

7. Join AK and AL. AK and AL are the required tangents from point A.

8. Now, Taking Q as center and radius equal to length OQ or QB, draw a circle.

9. The circle with center O and center Q intersect each other at M and N.

10. Join BM and BN. BM and BN are the required tangents from point B.