AI Math Studio
JEE Main Mathematics syllabus: 4 units
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1
Quadratic Equations & Roots
No official chapter weightageDiscriminant root analysis, sign properties of trinomials, Vieta's relations, and common root conditions.
Comprehensive Unit Scope:
Discriminant root analysis, sign properties of trinomials, Vieta's relations, and common root conditions.
Sub-Topics & Theorems (4):
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
Core Formula Benchmark:
2
Conic Sections: Parabolas, Ellipses & Hyperbolas
No official chapter weightageFocal parameters, equation of tangents with slope m, normal chords, and director circles.
3
Definite Integrals & Properties
No official chapter weightageKing's property (f(a+b-x)), Leibniz derivative rule for integral bounds, and area bounded by curves.
4
Limits, Continuity & Differentiability
No official chapter weightageIndeterminate forms 0/0 and ∞/∞, standard limits, Squeeze Theorem, and differentiability criteria.