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QUESTION

# A circle with center (-2,1) is tangent to the y-axis. What is the radius, equation, and is the circle also tangent to the x-axis?

Radius r=2 (x+2)^2+(y-1)^2=4 It is not tangent to the x-axis

Given :Center (h, k)=(-2, 1)

It is tangent to the y-axis, therefore, the y-axis is perpendicular to the radius. A radius and the y-axis intersects at (0, 1) and this point is 2 units away from the center.

then, Radius r=2

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