A-a-b-IR-2-a-2-b-2-1-prove-that-A-can-t-be-written-as-the-cartesian-product-of-two-parts-of-IR-

Question Number 155729 by henderson last updated on 03/Oct/21

A = {(a, b) \in {IR}^{2} / a^{2} + b^{2} ⩽ 1}

prove that A {can}^{'} t be written as the cartesian

product of two parts of IR .

Answered by Kamel last updated on 04/Oct/21

A = {(a, b) \in R^{2} / - 1 ⩽ a ⩽ 1, - \sqrt{1 - a^{2}} ⩽ b ⩽ \sqrt{1 - a^{2}}}

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