That is incorrect.
The center could be at (3, 4) with a radius of 5.
Note that DISTANCE BETWEEN THE CENTER OF THE CIRCLE AND AXIS X = |y|
THAT BETWEEN CENTER OF THE CIRCLE AND AXIS Y = |x|
St 1 just tells us that if the center is (x, y), then |y| > |x|. Nothing about the radius of the circle.
St 2 says that r > |x|. No info about |y|.
Together r > |x| > |y|, so r > |y| which means it does intersect the x-axis. C.
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