# Write an equation of the circle with a radius of 6 units and is tangent to the line y = 1 at (10,1)

2
by Renz18

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by Renz18

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(x-10)² + (y-7)² = 36

line is y=1 tangent point at (10,1)

line is y=1 tangent point at (10,1)

(x-h)²+(y-k)²=6

Substitute:

(x-10)²+(y-1)²=6

x²-20x+100+y²-2y+1=6

Add like terms:

x²-20x+y²-2y+101=6

Subtract both sides by 6

x²-20x+y²-2y=-95

Hope this helps =)