Question

In the following figure, PA, PC and CD are tangents drawn to a circle of
centre 0. If AP =3 cm, CD = 5 cm, then the length of PC is
A)3 cm
B)5 cm
C)8 cm
D)2 cm


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Answer 1

Answer:

opt b is correct

Step-by-step explanation:

As we know that tangents drawn from any external point (here, it is P) to a circle are equal in length. So,PA=PB.

1) CQ=CB=3 cm

(Since C acts as an external point from where tangents CB & CQ are drawn to the circle, and we know that tangents drawn from any external point to a circle are equal in length, so CQ=CB (similar to the way we proved PA=PB)

2) PB=PA=8 cm

Now, Since PC+CB=PB=8 cm

=> PC=(8−CB)cm=(8−3)cm=5 cm.

Hope it will help you please mark the answer brain list please

Answer 2

Hope it helps...

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