JEE MATH APEX

Author: girishks95918

  • FORMULA LIBRARY : PERMUTATIONS AND COMBINATIONS

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX PERMUTATIONS AND COMBINATIONS — JEE MATH APEX — JEE MATH APEX 1. Fundamental Counting Principle 📌 Multiplication & Addition Principle • Multiplication Principle: If task…

  • FORMULA LIBRARY : SEQUENCE AND SERIES

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX SEQUENCE AND SERIES — JEE MATH APEX — JEE MATH APEX 1. Arithmetic Progression (AP) 📌 General Term & Sum of AP • General form: a, a+d, a+2d, a+3d, … •…

  • FORMULA LIBRARY : TRIGONOMETRIC EQUATIONS

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX TRIGONOMETRIC EQUATIONS — JEE MATH APEX — JEE MATH APEX 1. Basic General Solutions 📌 Fundamental Trigonometric Equations • sin θ = 0 ⇒ θ = nπ, n ∈ Z •…

  • FORMULA LIBRARY : TRIGONOMETRY

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX TRIGONOMETRY — JEE MATH APEX — JEE MATH APEX 1. Basic Identities 📌 Fundamental Trigonometric Identities • sin²θ + cos²θ = 1 • 1 + tan²θ = sec²θ • 1 + cot²θ = cosec²θ…

  • FORMULA LIBRARY : COMPLEX NUMBERS

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX COMPLEX NUMBERS — JEE MATH APEX — JEE MATH APEX 1. Definition & Representation 📌 Complex Number Forms • Standard form: z = a + bi  (where a, b ∈ R, i² = −1) • Real part: Re(z) = a…

  • JEE MAIN 2025 (Online) 8th April Evening Shift

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    Question 1: Consider the relation R on the set {-2, -1, 0, 1, 2} defined by (a, b) ∈ R if and only if 1 + ab > 0. Then, among the statements: I. The number of elements in R is 17 II. R is an equivalence relation (A) Only I is true (B) Only…

  • JEE MAIN PART TEST 1

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    Question 1: Let A = {x : |x² – 17| ≤ 8} and B = {x : |x – 2| > 2}. Then which of the following is correct? (A) A ∪ B = (-∞, -3] ∪ (4, ∞) (B) B – A = (-∞, -5) ∪ (-3, 0) ∪ (5, ∞) (C) A –…

  • FORMULA LIBERARY : QUADRATIC EQUATIONS

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX QUADRATIC EQUATIONS — JEE MATH APEX — JEE MATH APEX 1. General Form & Roots 📌 Standard Quadratic Equation & Quadratic Formula • General form: ax² + bx + c = 0  (where a ≠ 0) • Quadratic formula: x = [−b ± √(b² − 4ac)]…

  • FORMULA LIBERARY : LOGARITHM

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    JEE MATH APEX JEE MATH APEX JEE MATH APEX LOGARITHM — JEE MATH APEX — JEE MATH APEX 1. Basic Definition & Fundamental Identity 📌 Definition of Logarithm • If ax = N, then x = loga N  (where a > 0, a ≠ 1, N > 0) • Fundamental identity: aloga N = N…

  • FORMULA LIBERARY : SETS

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    1. Basic Definitions & Representation 📌 Set Notations & Basic Concepts • Set-builder form: { x : P(x) } — the set of all x such that property P(x) holds. • Roster form: A = { 1, 2, 3, 4 } • Empty set: ∅ or { } — contains no element. • Singleton set:…