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Chapter 9: Q5. (page 335)

The diagram below shows tangent lines and circles. Find PD.

Short Answer

Expert verified

The value of PD=8路2

Step by step solution

01

Step 1. Given information.

The figure here given is,

02

Step 2. Consider circle I.

In the given figure, AP and BP are given as the tangents to the circle.

Use the fact that if BP,鈥�AP are tangents to a circle from an external point to a circle then BP=鈥�AP,

BP=AP=8.2

03

Step 3. Consider circle II.

CP and BP are tangents to the circle.

As it is known that tangents drawn from any point external to the circle onto the same circle are equal,

CP=BP=8.2

04

Step 4. Consider circle III.

PD and PC are tangents to the circle.

As tangents drawn from an external point to a circle are equal,

Therefore, PD=PC=8.2

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