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Functions · 2025 · Shift 1

2 Mathematics questions from this JEE Advanced paper
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Functions · 2025 · Shift 1

2 Mathematics questions from this JEE Advanced paper

  1. Q22.Let ℕ denote the set of all natural numbers, and ℤ denote the set of all integers. Consider the functions f: ℕ → ℤ and g: ℤ → ℕ defined by f(n)={2(n+1)​2(4−n)​​if n is odd,if n is even,​…
    Mathematics · Functions · Multiple correct
  2. Q28.Let ℝ denote the set of all real numbers. Let f: ℝ → ℝ be a function such that f(x) > 0 for all x ∈ ℝ, and f(x+y) = f(x)f(y) for all x, y ∈ ℝ. Let the real numbers a₁, a₂, ..., a₅₀ be in an arithmetic progression. If f(a₃₁) = 64f(a₂₅),…
    Mathematics · Functions · Numerical