Word Count : 333

---

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 \( ____ ________ _________ __________ _________ ______ _________ ______.
_________ ___ _________ ______ ____ _______ ________ ______.
____ ________ ___ _______ ______ ________ _____ _______ _________ ________ ____ ____.
_________ __________ _____ ________ ___ __________ ________ __________ _____ ____ ______ ________.
_____ ______ ______ _________ ____ ______ _______ ______ _______.
____ ________ _______ _____ ______ ____ _______.
_____ _______ _______ ___ ______ ______ ________ ____ _________ ______ ______ ____.
______ _______ __________ _________ _________ ______ __________ _________ ____ __________ __________ ________.
____ ________ ___ ____ _______ __________.
________ ________ __________ ______ _______ _______ __________.
__________ ____ _________ ____ _____ ______ ___ ________ ____.
____ ________ __________ ___ _______ __________ _________ __________ ___ ________ ______.
____ _____ __________ ___ _________.
_______ _______ ____ _____ ________.
_______ _____ __________ ________ _________ _________ ________.
________ _______ ______ ___ ________ _____.
__________ ________ ______ _______ _____ ____ ___ ______ ______ _______.
_________ ___ ____ _______ ___ _____ _________ ____ ________ ________ _____.
____ ______ _______ _________ ________.
____ ______ ____ ______ __________ _______ __________ __________.
_____ _________ ___ _____ _________ ________ _________ ______ ___ ______ _______ ___.
_________ __________ _________ _____ ___ __________ _______ ___.
________ ____ ____ _________ ____ _________ ____ _______ ________ ___ ________.
_____ __________ ___ ________ ________ _______ __________ ___ ________ ___ _________.
_________ _______ _____ ____ _________ ________ ___ ____ _________ __________ __________.
____ ________ __________ _________ ________ ________ ___ __________ ___ _______ _______.
_______ ____ _______ ______ _____.
_______ ____ _________ ___ _____ ___ ________ _______.
______ ______ ______ __________ ___ __________ ___ _____ _____ ___.
___ _____ _____ _______ ____ _____.
________ ______ _______ __________.
Get Full Answer on WhatsApp