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Chapter 11: Q. 30 (page 1082)

In the following exercises, (a) find the centre and radius, then (b) graph each circle.

(x-2)2+(y-3)2=9

Short Answer

Expert verified

The centre of circle is(2,3)and radius is3.

Step by step solution

01

Step 1. Given information

The given equation of circle is(x-2)2+(y-3)2=9

02

Step 2. Part (a) Find the centre and radius of circle.

(x-2)2+(y-3)2=32

On comparing with the standard form of equation (x-h)2+(y-k)2=r2,

h=2k=3r=3

Therefore, the centre of circle is (2,3)and radius is 3.

03

Step 3. Part (b) The graph of circle.

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