Question

The centre of a circle is C (2a - 1, 3a + 1) and it passes through the point A (-3,-1).
If a diameter of the circle is of length 20 units, find the value (s) of a.
plz help guys​

Answer 1

Answer:

✒Given:-

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☯️The mean of the observation : a , a + 1 , 2a + 3 , 3a + 1 and a - 1 is 12

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✒To Find:-

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✒The value of a

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☢STEP BY STEP EXPLANATION:-

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✒Mean = 12

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✒Sum of the observation

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$\begin{gathered}\sf \implies a + (a + 1) + (2a + 3) + (3a + 1) + (a - 1) = 8a + 1 \\\end{gathered} </p><p>$

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✒Number of observation = 5

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$\red{\begin{gathered}\sf \therefore12 = \frac{8a + 4}{5} \\ \\ \\ \sf\implies8a + 4 = 60 \\ \\ \\ \sf\implies a = 7 \: \: \: \: \: \: \: \: \: \: \: \: \:\end{gathered}}</p><p>$

∴ Thus, The value of a is 7