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?

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Feb 2, 2016

Answer:

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

Explanation:

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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