JEE MATH APEX

Tag: math

  • JEE MAIN 2025 (Online) 5th April Evening Shift

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    Question 1: Let α, β be the roots of the equation x² – x + p = 0 and γ, δ be the roots of the equation x² – 4x + q = 0; p, q ∈ Z. If α, β, γ, δ are in G.P., then |p + q| equals: (A) 16 (B) 32…

  • JEE MAIN 2025 (Online) 5th April Morning Shift

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    Question 1: Let a, b ∈ C. Let α, β be the roots of the equation x² + ax + b = 0. If β – α = √11 and β² – α² = 3i√11, then (β³ – α³)² is equal to: (A) 160 (B) 176 (C) 194 (D) 187 ▶ Click here to Check…

  • FORMULA LIBRARY : CIRCLES

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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 JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX CIRCLES — JEE MATH APEX — JEE MATH APEX 1. Standard Forms of…

  • FORMULA LIBRARY : STRAIGHT LINES

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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 JEE MATH APEX JEE MATH APEX JEE MATH APEX STRAIGHT LINES — JEE MATH APEX — JEE MATH APEX 1. Distance Formula 📌 Distance Between…

  • FORMULA LIBRARY : BINOMIAL THEOREM

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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 BINOMIAL THEOREM — JEE MATH APEX — JEE MATH APEX 1. Binomial Theorem for Positive Integer 📌 Expansion Formula • (x + y)ⁿ = ⁿC₀xⁿ…

  • 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, … •…

  • 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 : 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:…

  • FORMULA LIBRARY : 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:…