SOLUTION: Find the equation of the circle that is tangent to both x and y axes and the radius at the third quadrant is 2 units.

Question 751503: Find the equation of the circle that is tangent to both x and y axes and the radius at the third quadrant is 2 units.
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
equation of the circle whose tangents are both x and y axes and the radius at the third quadrant is 2 units.
point of contact of tangent at x axis is (-2,0)
same way point of contact at y axis is (0,-2)
center will lie at (-2,-2)
equation of circle will be (x+2)^2 +(y+2)^2 =2^2
x^2+4+ 4x +y^2+4+4y =4
writing in standard form of circle
equation of circle will be
x^2+y^2 +4x+ 4y +4 =0

ANSWER x^2+y^2 +4x+ 4y +4 =0

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