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Answer:
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Step-by-step explanation:
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The equation of the circle with the given parameters is (x-3)² + (y-1)² = 2.
We need to find the equation of the circle.
What is the circle equation?
We know that the general equation for a circle is ( x - h )² + ( y - k )²= r², where ( h, k ) is the centre and r is the radius.
Let centre O be (a,b).
(a-2)² + (b-2)² = (a-4)² +b² , Or, a-b = 2
Means centre is (b+2, b)
Distance of centre from x-y=0 is 2/√2 = √2 =radius
Distance between centre and (4,0) = Also radius
(b-2)² +b² = 2 or, b² -2b +1= 0 or b = 1,
So centre is (3,1) and the equation of the circle is (x-3)² + (y-1)² = 2.
Therefore, the equation of the circle is (x-3)² + (y-1)² = 2.
To learn more about the equation of the circle visit:
https://brainly.com/question/10618691.
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