1.

Find the equation of circles determined by the following conditions. The radius is 5 and circle is tangent to both axes.

Answer»

Solution :As the circle is tangent to both the axes, we have its centre at (5, 5).
`THEREFORE` EQUATION of the circle is
or, `(x+-5)^2+(y+-5)^2=25`
or, `x^2+25+-10x+y^2+25+-10y=25`
or, `x^2+y^2+-10x+-10y+25=0`


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