- A circle has equation
$$x ^ { 2 } - 6 x + y ^ { 2 } + 8 y + k = 0$$
where \(k\) is a positive constant.
Given that the \(x\)-axis is a tangent to this circle,
- find the value of \(k\).
The circle meets the coordinate axes at the points \(R , S\) and \(T\).
- Find the exact area of the triangle \(R S T\).
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