find the equation of the circles which touch both the axes and touch the line x=2a
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The circle touches both the axis and touches the line x=2a. , it means the diameter
of the circle is 2a units. Hence radius is a unit and center O(a,a).
Thus , equation of the circle is;-
(x-a)^2+(y-a)^2 = (a)^2
or. x^2+y^2–2ax-2ay+a^2 =0.
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Answer:
The circle touches both the axis and touches the line x=2a. , it means the diameter
of the circle is 2a units. Hence radius is a unit and center O(a,a).
Thus , equation of the circle is;-
(x-a)^2+(y-a)^2 = (a)^2
or. x^2+y^2–2ax-2ay+a^2 =0.
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