SOLUTION: Circle A is externally tangent to the parabola {{{ y-1=-(x-3)^2 }}} and is symmetric about the line x=3. The diameter of the circle is 2 units. What is the equation of the circle?
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-> SOLUTION: Circle A is externally tangent to the parabola {{{ y-1=-(x-3)^2 }}} and is symmetric about the line x=3. The diameter of the circle is 2 units. What is the equation of the circle?
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Question 933218: Circle A is externally tangent to the parabola and is symmetric about the line x=3. The diameter of the circle is 2 units. What is the equation of the circle? Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website! I did not work through this carefully yet, but here is what you can obtain from the description:
The diameter of the circle being 2 means the radius is 1 unit. You know that the center point of the circle must have x=3. You do not know the y value for the center. You also expect that the distance from center to the tangent points on the parabola is 1 unit.
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