draw a line of tangent r=3cm inclined to each other at angle is 60°
Answers
Step-by-step explanation:
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➡️ Steps of Construction:
➡️ Step I: Draw a circle with centre O and radius 3 cm.
➡️ Step II: Draw any diameter АОВ.
➡️ Step IlI: Draw a radius OC such that ∠BOX = 60°.
➡️ Step IV: At C, we draw CM ⊥OC and at A, we draw AN I OA.
➡️ Step V: Let the two perpendiculars intersect each other at P. Then, PA and PC are required tangents.
➡️ Justification:
Since OA is the radius, so PA has to be a tangent to the circle. Similarly, PC is also tangent to the circle.
Hence, tangents PA and PC are inclined to each other at an angle of 60°