JEE MATH APEX

Tag: philosophy

  • JEE MAIN 2025 (Online) 6th April Evening Shift

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    Question 1: Let f : R → R be defined as f(x) = (2x² – 3x + 2)/(3x² + x + 3). Then f is: (A) both one-one and onto (B) one-one but not onto (C) onto but not one-one (D) neither one-one nor onto ▶ Click here to Check Answer & View Solution Correct…

  • JEE MAIN 2025 (Online) 6th April Morning Shift

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    Question 1: Let [t] denote the greatest integer function. If the domain of the function f(x) = sin⁻¹((x + [x])/3) is [α, β), then α² + β² is equal to: (A) 2 (B) 5 (C) 10 (D) 13 ▶ Click here to Check Answer & View Solution Correct Answer: Detailed Verification: [Solution space] Question 2:…

  • FORMULA LIBRARY : HYPERBOLA

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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 JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE…

  • 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 : 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 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 : 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:…