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?

Answer 1

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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