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Formula Cheat Sheet for JEE Main Mathematics

Official 100% syllabus-accurate formula sheet for exam revision.

1. Advanced Algebra & Complex Numbers

Cube Roots of Unity1 + ω + ω² = 0, ω³ = 1
De Moivre's Theorem(cosθ + i sinθ)ⁿ = cos(nθ) + i sin(nθ)
Adjoint Determinant|adj(A)| = |A|^{n−1}

2. JEE Calculus & Limits

Exponential Limit elim_{x → 0} (1 + x)^{1/x} = e
L'Hôpital's Rulelim f(x)/g(x) = lim f'(x)/g'(x)
Leibniz Integral Ruled/dx ∫_{a(x)}^{b(x)} f(t)dt = f(b(x))b'(x) − f(a(x))a'(x)