What are the endpoints of latus rectum of a rectangular hyperbola?
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Answer:
The equations of the directrices of the hyperbola in this case are x + y = ± √2c. Since, the transverse and the conjugate axes are the same hence, length of latus rectum = 2√2c = T.A. = C.A. Equation of a chord whose middle point is given to be (p, q) is qx + py = 2pq.
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Step-by-step explanation:
the endpoints of the latus rectum have the same x-coordinate at the focus. To find the endpoints, substitute x=6 into the original equation: (6,±12)
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