Let the radius of the circle which has its center at (4, 3) and that is tangential to both the x and y axes be r.

As the circle is tangential to the x-axis the distance of the center from the x-axis should be equal to r, here it is equal to 4. This gives the radius r = 4. Similarly, as the circle is tangential to the y-axis, the distance of the center from the y-axis should be equal to r. Here, it is equal to 4. We are getting two different values for the radius, which is not possible.

**We can conclude that it is not possible for a circle centered at (4, 3) to be tangential to both the x and y axes.**

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