Question

Draw a circle of radius 3.5 cm. Take two points A and B on one of its extended diameter, each at a distance of 7 cm from its centre. Draw tangents to the circle form each of these points A and B.

Answer 1

Steps of Construction :

Step 1. Draw a circle with O as centre and radius 3.5 cm.
Step 2 . Mark two points A and B outside the circle, such that OA = OB = 7 cm.
Step 3. Join OA and OB and bisect OA and OB at M and M' respectively.
Step 4. Draw a circle with M' as centre and radius equal to M'B to intersect the given circle at points T₁ and T₂.
Step 5. Draw a circle with M as centre and radius equal to MA to intersect the given circle at points T₃ and T₄.
Step 6. Join BT₁, B T₂ , AT_3, AT₄.



Thus, BT₁, B T₂ , AT_{3 and} AT₄ are the required tangents.