6. Exemplar - Find the value of 'a'

The centre of a circle is \((2m, m – 7)\). Find the values of \(m\) if the circle passes through the point \((11, –9)\) and has diameter \(10\sqrt 2\) units.
 
Answer:  
 
The value of \(m\) is and .
 
[Note: Enter the answer in the ascending order]
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