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.
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Step-by-step explanation:
The centre of the circle is the point of half of the diameter.
Hence, the centre of the circle = 20/2 = 10 cm.
The centre of the circle is given as (2a-1,3a+ 1)
Hence, we can equate both of them to the centre.
10 = 2a - 1
2a = 11
a = 11/2.........(1)
10 = 3a + 1
3a = 9
a = 9/3
a = 3........(2)
Hence from (1) and (2) we can say that the values of a are = 11/2 and 3.
Important Fact
Please note that whenever you are writing the equations and if you are writing in your final answer that from equation " and", then always number the equations and then write in the final answer. It's super important.
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