1.

If two tangents are inclined at 60˚ are drawn to a circle of radius 3cm thenfind length of each tangent​

Answer»

ANSWER:

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

∴∠APO=∠BPO

=

2

1

×∠APB

=

2

1

×60

0

=30

0

Also, OA⊥AP and OB⊥BP

In a RIGHT ANGLED triangle OAP,

tan30

0

=

PA

3

3

1

=

PA

3

⇒PA=3

3

cm

⇒PA=PB=3

3

cm

Step-by-step explanation:

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