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charle [14.2K]
3 years ago
15

The answer below thanks

Mathematics
1 answer:
Arisa [49]3 years ago
3 0

Step-by-step explanation:

Let the center of the given circle be (h,k)

and its radius be 'r' units

Let (x,y) be a random point on the given circle

Now, distance between the points (x,y) and (h,k) will be equal to its radius, 'r'

\sqrt{(x - h)^{2}  +  {(y - k)}^{2} }  = r

\implies {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}

\implies {x}^{2}  - 2xh +  {h}^{2}  +  {y}^{2}  - 2yk +  {k}^{2}  =  {r}^{2}

\implies {x}^{2}  +  {y}^{2}  - 2hx- 2ky + ( {h}^{2}  +  {k}^{2} -  {r}^{2}  ) = 0 \\

Here, is the required equation

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