Math, asked by nayan2691, 4 months ago

draw a line of tangent r=3cm inclined to each other at angle is 60°​

Answers

Answered by rajputabhay1713
8

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Answered by yourboyMukesh
13

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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.

∠APC = 360^{0}  - (∠OAP + ∠OCP + ∠AOC)

 {360}^{0}  - ( {90}^{0}  +  {90}^{0}  +  {120}^{0}) =  {360}^{0}  -  {300}^{0}  =  >  {60}^{0}

Hence, tangents PA and PC are inclined to each other at an angle of 60°

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