18. If two tangents inclined at an angle of 60° are drawn to a circle of radius 3cm,
then length of each tangent is equal to

18. If two tangents inclined at an angle of 60° are drawn to a circle of radius 3cm,
then length of each tangent is equal to
101
313
A) cm
B) 6cm
C) 3 cm ( (1) 33cm
2
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2 thoughts on “18. If two tangents inclined at an angle of 60° are drawn to a circle of radius 3cm,<br /> then length of each tangent is equal to”

  1. Answer:

    CORRECT ANSWER 3 ROOT 3 cm.

    HOPE THIS ANSWER MAY HELP YOU TO UNDERSTAND

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    Step-by-step explanation:

    Let PA and PB be the two tangents to a circle with centre O and radius 3

    ∴∠APO=∠BPO

    =21×∠APB

    =21×600

    =300

    Also, OA⊥AP and OB⊥BP

    In a right angled triangle OAP,

    tan300=PA3

    ⇒31=PA3

    ⇒PA=33cm

    ⇒PA=PB=3 ROOT 3 cm

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