JEE MATH APEX

Tag: mathematics

  • 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…

  • 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:…

  • 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:…

  • IAT 2017

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    Mathematics Questions JEE MATH APEX The number of solutions of the equation in the interval is (A) 0 (B) 2 (C) 1 (D) 3 Click to View Answer Correct Answer: [ ] JEE MATH APEX For , the number of onto functions from the set to the set is (A) (B) (C) (D) Click to…

  • IAT 2018

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    Mathematics Questions JEE MATH APEX Let be a given complex number with modulus . Then the set is a (A) Straight line. (B) Hyperbola. (C) Circle. (D) Parabola. Click to View Answer Correct Answer: [ ] JEE MATH APEX Let be functions from to , with and invertible. Which of the following is NOT always…