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Notes for JEE Main & Advanced Mathematics Conic Sections

Rectangular or Equilateral Hyperbola

Asymptotes of a Hyperbola

Subtangent and Subnormal of the Hyperbola

Diameter of The Hyperbola

Pole and Polar

Equation of The Chord Joining Two Points

Equation of the Chord of the Hyperbola

Equation of Chord of Contact of Tangents

Equations of Normal in Different Forms

Equation of Pair of Tangents

Equations of Tangent in Different Forms

Intersection of a Line and a Hyperbola

Position of a Point With Respect to

Parametric Equations of Hyperbola

Auxiliary Circle of Hyperbola

Special form of Hyperbola

Conjugate Hyperbola

Standard Equation of the Hyperbola

Definition

Subtangent and Subnormal

Diameter of The Ellipse

Pole and Polar

Equation of The Chord Joining Two Points

Equation of Chord With Mid Point \[\mathbf{(}{{\mathbf{x}}_{\mathbf{1}}}\mathbf{,}{{\mathbf{y}}_{\mathbf{1}}}\mathbf{)}\]

Chord of Contact

Auxiliary Circle

Equations of Normal in Different Forms

Equation of Pair of Tangents \[\mathbf{S}{{\mathbf{S}}_{\mathbf{1}}}\mathbf{=}{{\mathbf{T}}^{\mathbf{2}}}\]

Equations of Tangent in Different Forms

Intersection of a Line and an Ellipse

Position of a Point with Respect to

Special Forms of an Ellipse

Parametric Form of The Ellipse

Standard Equation of the Ellipse

Definition

Pole and Polar

Length of Tangent, Subtangent, Normal and Subnormal

Length of Tangent, Subtangent, Normal, Subnormal

Diameter of a Parabola

Equation of the Chord Joining any Two

Equation of the Chord of the Parabola

Equation of The Chord of Contact of

Co-normal Points

Relation Between \[\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}\] and \[\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}\] if Normal

Point of Intersection of Normals at Any

Equations of Normal in Different Forms

Equation of Pair of Tangents From a

Point of Intersection of Tangents at Any

Equations of Tangent in Different Forms

Position of a Point and a Line

Parametric Equations of a Parabola

Special form of Parabola \[{{\mathbf{(yk)}}^{\mathbf{2~}}}\mathbf{= 4a}\,\,\mathbf{(xh)= a}\]

Standard Equation of The Parabola

Definition

Recognisation of Conics

General Equation of a Conic Section When

Definitions of Various Important Terms

Definition

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