SOLUTION: Derive the equation of the locus of a point, the sum of the squares of whose distances from the coordinate axes is 9.

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Question 1071340: Derive the equation of the locus of a point, the sum of the squares of whose distances from the coordinate axes is 9.
Answer by ikleyn(52803) About Me  (Show Source):
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This equation is

x%5E2+%2B+y%5E2 = 9.


It is the equation of the circle with the center of the origin of the coordinate system, with the radius 3.


Hence, the locus is the circle of the radius 3, centered at the origin of the coordinate system.