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\(A, B, P,\) and \(Q\) are four positive numbers. Does \(AQ = BP?\)
(1) \(\sqrt{A^2+B^2}=\sqrt{P^2+Q^2}\)
(2) In the \(xy\) plane, the line through \((A, B)\) and \((P, Q)\) goes through the origin.
[spoiler]OA=B[/spoiler]
Source: Magoosh
(1) \(\sqrt{A^2+B^2}=\sqrt{P^2+Q^2}\)
(2) In the \(xy\) plane, the line through \((A, B)\) and \((P, Q)\) goes through the origin.
[spoiler]OA=B[/spoiler]
Source: Magoosh
