math
posted by Anonymous .
a circle is tangent to the yaxis at y=3 and has one xintercept at x=1
a) what's the other xintercept
b) what's the equation
i have no clue how to solve this!
You know that the center of the circle is somewhere in the line y = 3, denote the xcoordinate by rx. Then the radius of the circle is rx. The distance from the center to the point x = 1 on the xaxis must be equal to the radius, which is rx. Therefore:
(rx1)^2 + 9 = rx^2 >
rx = 5.
Equation of the circle is thus:
(x  5)^2 + (y  3)^2 = 25
And you see that the other x intercept is at x = 9
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