6. Exemplar - Find the value of 'a'

The centre of a circle is \((2c, c – 7)\). Estimate the values of \(c\) if the circle passes through the point \((11, –9)\) and has diameter \(6\sqrt 5\) units.
 
Answer:  
 
The value of \(c\) is and .
 
[Note: Enter the answer in the ascending order]
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