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Sets, Relations & Functions

JEE Mathematics • 10 questions • Free on ExamBattle

Practice Questions

  1. Q1

    If A = {1, 2, 3} and B = {2, 3, 4}, then A ∪ B is:

    • A. {1, 2, 3, 4}
    • B. {2, 3}
    • C. {1, 4}
    • D. {1, 2, 3, 4, 5}
  2. Q2

    The number of subsets of a set with 3 elements is:

    • A. 3
    • B. 6
    • C. 8
    • D. 9
  3. Q3

    A relation f: A → B is a function if:

    • A. Every element of A relates to at least one element of B
    • B. Every element of A relates to exactly one element of B
    • C. Every element of B has a preimage in A
    • D. f is one-to-one
  4. Q4

    If f(x) = 2x + 1, then f⁻¹(5) is:

    • A. 2
    • B. 3
    • C. 11
    • D. 9
  5. Q5

    The range of f(x) = x² for x ∈ ℝ is:

    • A. ℝ
    • B. [0, ∞)
    • C. (-∞, 0]
    • D. [0, 1]
  6. Q6

    The domain of f(x) = 1/√(4-x²) is:

    • A. (-2, 2)
    • B. [-2, 2]
    • C. (-∞, 2)
    • D. (0, 2)

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