Tag: technology
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JEE MAIN 2025 (Online) 5th April Morning Shift
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…
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JEE MAIN 2025 (Online) 6th April Evening Shift
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…
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FORMULA LIBRARY : PERMUTATIONS AND COMBINATIONS
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…
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JEE MAIN 2025 (Online) 8th April Evening Shift
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…
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FORMULA LIBERARY : QUADRATIC EQUATIONS
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)]…
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FORMULA LIBERARY : LOGARITHM
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…
