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How can I exclude a point from a Region Plot?

Posted 10 days ago
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I want to exclude the point {0,0} from: RegionPlot[0 < x^2 + (y^2)/4 <= 1 , {x, 2, -2}, {y, 2, -2}]

I can exclude a small region around {0,0}

RegionPlot[
 0 < x^2 + (y^2)/4 <= 1 && x^2 + y^2 > .03, {x, -2, 2}, {y, -2, 2}]
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