Question 550406
Find the equation of the circle concentric with the circle x2+y2+6x-10y+33=0 and touching the line y-0
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I think you mean y=0
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Find the center of the circles.
x2+y2+6x-10y+33=0
Complete the squares for x and y
x2+y2+6x-10y = -33
{{{x^2 + 6x + 9 + y^2 - 10y + 25 = -33 + 9 + 25 = 1}}}
{{{(x+3)^2 + (y-5)^2 = 1}}}
The center is (-3,5)
The distance to y = 0 (the x-axis) is 5.
--> {{{(x+3)^2 + (y-5)^2 = 25}}}