Circles A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a.

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A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). This implies the distance between (-3 , -2) and (0 , -6) is equal to the distance between (-3, -2) and (a, 0)

sqrt [ (-3 - a)^2 + (-2 - 0)^2]...

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A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). This implies the distance between (-3 , -2) and (0 , -6) is equal to the distance between (-3, -2) and (a, 0)

sqrt [ (-3 - a)^2 + (-2 - 0)^2] = sqrt [(-3 - 0)^2 + (-3 + 6)^2]

=> (3 + a)^2 + 4 = 9 + 9

=> (3 + a)^2 = 14

=> 3 + a = sqrt 14 and 3 + a = -sqrt 14

The value of a = sqrt 14 - 9 and a = -sqrt 14 - 3

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