generic · 12th TN - English Medium · MATHEMATICS-VOLUME 1 · Page 227

Parametric forms

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

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Conic Parametric equations Parameter Range of parameter Any point on the conic Circle cos θ sin θ ‘ θ ’ or ( cos , sin ) Parabola at at = −∞< < ∞ ‘ t ’ or at at Ellipse cos θ sin θ ‘ θ ’ or ( cos , sin ) Hyperbola sec θ tan θ except θ = ± ‘ θ ’ or ( sec , tan ) Identifying the conic from the general equation of conic Ax Bxy Cy Dx Ey

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 227

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Conic Parametric equations Parameter Range of parameter Any point on the conic Circle cos θ sin θ ‘ θ ’ or ( cos , sin ) Parabola at at = −∞< < ∞ ‘ t ’ or at at Ellipse cos θ sin θ ‘ θ ’ or ( cos , sin ) Hyperbola sec θ tan θ except θ = ± ‘ θ ’ or ( sec , tan ) Identifying the conic from the general equation of conic Ax Bxy Cy Dx Ey

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