Question

In the adjoining figure, tangents are drawn from an external point ‘P’ to two internally touching circles. If AP = 8 cm, then the measure of CP is,
A) 7.6 cm
B) 7.8 cm
C) 8cm
D) 8.2 cm​

Answer 1

Answer:

8cm

Step-by-step explanation:

The answer is 8cm as you can see in the above fig.

Hope this helps

Answer 2

Answer:

The measure of $CP=8cm$.

Step-by-step explanation:

It is given that tangents are drawn from an external point ‘P’ to two internally touching circles.

If $AP = 8 cm$, we need to determine the measure of $CP$.

We know that the theorem is:

If from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Applying it on larger circle,

$AP=PB=8cm$

Applying it on smaller circle.

$PB=CP=8cm$

Hence, $CP=8cm$

Option (C) is correct.

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