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To prove that the conic passing through the points of intersection of two rectangular hyperbolas is also a rectangular hyperbola, we can proceed with a step-by-step approach. ### Step 1: Define the equations of the two rectangular hyperbolas. Consider two rectangular hyperbolas given by the equations: 1. \( H_1: xy = c_1^2 \) 2. \( H_2: xy = c_2^2 \) Where \( c_1 \) and \( _____ _____ ____ ____ ____ ______ __________ ___ _________ ________ ________ ___.
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