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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Answers
Answered by
0
Answer:
CORRECT ANSWER 3 ROOT 3 cm.
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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
Answered by
1
Answer:
3 root 3 cm
Step-by-step explanation:
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