JEE Advanced Relations and Functions (Class 11) — previous year questions
6 questions from 2025, 2024, 2020, 2016, 2012.
- Let R denote the set of all real numbers. Let aᵢ, bᵢ ∈ R for i ∈ {1,2,3}. Define the functions f : R → R, g :…
- Let f: R -> R be a function such that f(x+y)=f(x)+f(y) for all x, y in R and g: R -> (0, infinity) be a…
- Let a = 3√2 and b = 1/(5^(1/16)√6). If x, y ∈ R are such that 3x + 2y = logₐ (18)^(5/4) and 2x - y = log_b…
- Let the function f:[0,1]→R be defined by f(x)=4ˣ/(4ˣ+2). Then the value of…
- If f(x) + 2f(1/x) = 3x, x ≠ 0 and S = {x ∈ R : f(x) = f(-x)}; then S:
- The value of 6 + log_(3/2) ( 1/3√2 √(4 - 1/3√2 √(4 - 1/3√2 √(4 - 1/3√2 ⋯))) ) is