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Question 14: Analytic Geometry

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FLUHR Exatas

Published on Nov 18, 2024

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Model A: Question 14: The figure below illustrates the reflective property of the hyperbola. If a ray starts from a point ???? and goes towards ????2, then it is reflected by the hyperbola, at point ????, and goes towards ????1. Consider the hyperbola 4????2−5????2=20 with foci ????1 and ????2, with ????1 to the left of ????2. Which of the lines below gives the direction of the ray that must start from point ????(1,3) to be reflected in the right branch of the hyperbola and go towards ????1? Ⓐ 3???? + 2???? − 9 = 0 Ⓑ 2???? + 2???? − 7 = 0 Ⓒ ???? + 2???? − 8 = 0 Ⓓ 2???? − ???? + 7 = 0 Ⓔ ???? − 2???? + 8 = 0 00:00 Reading the Statement and Interpreting the Question 01:54 Review of the Hyperbola Equation 03:02 Extraction of the Reduced Hyperbola Equation 04:26 Interpretation of the Equation in the Graph 05:09 Calculation of C By Pythagoras. 06:48 Calculation of the Equation of the Line AF2 11:20 Like, Comment and Share 12:20 End #esa #armysergeant #mathematics #solvedquestion #commentedquestion #competition #military #analyticalgeometry #hyperbola

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