generic · 12th TN - English Medium · MATHEMATICS-VOLUME 1 · Page 197question

5.3.4 Hyperbola

Chapter 5: Chapter 5 · MATHEMATICS-VOLUME 1 · EN medium

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We invoke that a hyperbola is the locus of a point which moves such that its distance from a fixed point (focus) bears a constant ratio (eccentricity) greater than unity its distance from its directrix, bearing a constant ratio e ( e > . (i) Equation of a Hyperbola in standard form with centre at ( , ) Let S be a focus, l be the directrix line, e be the eccentricity e > and P x y ( , ) be the moving point. Draw SZ and PM perpendicular to l .

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 197

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We invoke that a hyperbola is the locus of a point which moves such that its distance from a fixed point (focus) bears a constant ratio (eccentricity) greater than unity its distance from its directrix, bearing a constant ratio e ( e > . (i) Equation of a Hyperbola in standard form with centre at ( , ) Let S be a focus, l be the directrix line, e be the eccentricity e > and P x y ( , ) be the moving point. Draw SZ and PM perpendicular to l .

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