The centre pf a circle is ( 2a -1 , 7) and it passes through the point ( -3 , -1 0 . If the diameter of the circle is 20 units , then find the value of a
Hi!
Here is the answer to your question.
Centre of the circle, C = (2a – 1, 7)
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⇒ (2a + 2)2 + 64 = 100
⇒ (2a + 2)2 = 36
⇒ (2a + 2) = ±6
⇒2a + 2 = 6 or 2a + 2 = –6
⇒2a = 4 or 2a = –8
⇒a = 2 or a = –4
Thus, the values of a are 2 or –4.
Best Wishes!