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## Homework Statement

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

where h,k and r are constants

## The Attempt at a Solution

[tex]

\begin{array}{l}

\frac{d}{{dx}}\left[ {(x - h)^2 + (y - k)^2 } \right] = \frac{d}{{dx}}r^2 \\

2(x - h) + 2\frac{{dy}}{{dx}}(y - k) = 0 \\

\Rightarrow \frac{{dy}}{{dx}} = - \frac{{(x - h)}}{{(y - k)}} \\

\end{array}[/tex]

Is my work correct?

Thank you