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JEE Main Mathematics

Quadratic Equations & Roots

No official chapter weightage

Discriminant root analysis, sign properties of trinomials, Vieta's relations, and common root conditions.

x=−b±b2−4ac2a,α+β=−ba,αβ=cax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}, \quad \alpha + \beta = -\frac{b}{a}, \quad \alpha\beta = \frac{c}{a}

What this unit covers

  • Discriminant & Nature of Roots (Real, Distinct, Complex)

  • Vieta's Formulas for Higher Degree Polynomials

  • Location of Roots with Geometric Boundary Constraints

  • Common Roots Between Two Quadratic Equations

Other units in JEE Main Mathematics