SOLUTION: Good day. Ineed your help.Thank you 2. The equation of a circle with radius is (x-h)^2+ (y-k)^2 if the center is at (h,k) Find the condition that a circle shall a. touch the x-ax

Question 771636: Good day. Ineed your help.Thank you
2. The equation of a circle with radius is (x-h)^2+ (y-k)^2 if the center is at (h,k) Find the condition that a circle shall
a. touch the x-axis
b.have its center on the y-axis
c.touch both axes
d.have its center on the line 3x+4y=12

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Here is some help for "touch both axes".
'
To be simpler, choose a circle in quadrant 1. To touch both axes, the center point is the radius value distance from both number lines. If the center of the circle is r, then this means the center (h, k) would be (r, r). The related standard form equation would then use those values (or variables, in this generalization) to give .

This picture shows C at the center point, (r, r):

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