Mrs. Lopez decided to have a circular kitchen in her house. The center part of the kitchen is located on the y-axis and the distance from the center to its door is 10 meters and passing through the origin. a. Where is its center located?

b. Determine the equation of the circular kitchen in standard and general form.

c. If the table from the kitchen is located at (3, 2), find the location of the table if inside, outside or on the circular kitchen.