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

Sagot :

(x-10)² + (y-7)² = 36

line is y=1 tangent point at (10,1)
The equation of the circle is:
(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 =)