Conic Sections Formulas for JEE 2026

43 formulas in Conic Sections (Maths) How many can you recall?

Standard ellipse

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Eccentricity relation for ellipse

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Tangent to ellipse at a point

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Auxiliary circle of an ellipse

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Director circle of an ellipse

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Sum of focal distances (ellipse)

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Standard hyperbola

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Eccentricity relation for hyperbola

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Asymptotes of standard hyperbola

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Tangent to hyperbola at a point

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Standard parabola opening right

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Focus–directrix property (parabola)

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Tangent to parabola y² = 4ax at a point

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Normal to parabola y² = 4ax at a point

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Tangent of slope m to y² = 4ax

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Focal distance on parabola y² = 4ax

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Length of latus rectum (parabola)

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Focal chord property (parametric parabola)

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Parabola: standard form y² = 4ax

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Parabola: parametric form

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Parabola: focal distance SP

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Parabola: latus rectum length

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Parabola: tangent at point (x₁, y₁)

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Parabola: tangent in parametric form

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Parabola: normal in parametric form

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Parabola: focal chord condition (parametric)

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Parabola: tangency of line y = mx + c

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Ellipse: standard equation

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Ellipse: eccentricity and foci

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Ellipse: directrices

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Ellipse: auxiliary circle

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Ellipse: director circle

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Ellipse: tangent at (x₁, y₁)

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Ellipse: tangent in parametric form

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Ellipse: normal at (x₁, y₁)

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Ellipse: focal property SP + S'P

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Ellipse: latus rectum length

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Hyperbola: standard equation

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Hyperbola: eccentricity and asymptotes

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Hyperbola: conjugate hyperbola

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Hyperbola: tangent at (x₁, y₁)

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Rectangular (equilateral) hyperbola

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Hyperbola: director circle

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