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JEE Main Mathematics

Conic Sections: Parabolas, Ellipses & Hyperbolas

No official chapter weightage

Focal parameters, equation of tangents with slope m, normal chords, and director circles.

y2=4ax,x2a2+y2b2=1,y=mx+amy^2 = 4ax, \quad \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1, \quad y = mx + \frac{a}{m}

What this unit covers

  • Standard & Shifted Parabola Directrix Geometry

  • Ellipse Eccentricity e = √(1 - b²/a²) & Auxiliary Circles

  • Hyperbola Asymptotes & Rectangular Hyperbolas xy = c²

  • Condition of Tangency & Director Circle Loci