5.3.1 The general equation of a Conic
Chapter 5: Chapter 5 · MATHEMATICS-VOLUME 1 · EN medium
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Let S x y ) be the focus, l the directrix, and e be the eccentricity. Let P x y ) be the moving point. By the definition of conic, we have SP PM = constant = e , ...( ) Where SP = and PM = perpendicular distance from P x y ( , ) to the line lx my = = lx my l m From ( ) we get SP = e PM ⇒ ( = e lx my l m . On simplification the above equation takes the form of general second-degree equation Ax Bxy Cy Dx Ey
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 191
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Let S x y ) be the focus, l the directrix, and e be the eccentricity. Let P x y ) be the moving point. By the definition of conic, we have SP PM = constant = e , ...( ) Where SP = and PM = perpendicular distance from P x y ( , ) to the line lx my = = lx my l m From ( ) we get SP = e PM ⇒ ( = e lx my l m . On simplification the above equation takes the form of general second-degree equation Ax Bxy Cy Dx Ey
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