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JEE Advanced 2026: High-Weightage Mathematics Questions

JEE Mathematics • 10 questions • Free on ExamBattle

Practice Questions

  1. Q1

    The number of points where f(x) = |x² − 4| is not differentiable is:

    • A. 0
    • B. 2
    • C. 3
    • D. 1
  2. Q2

    Using L'Hôpital's rule, lim(x→0) (1 − cosx)/x² equals:

    • A. 0
    • B. 1/2
    • C. 1
    • D. 2
  3. Q3

    The differential equation of all circles passing through origin is:

    • A. dy/dx = y/x
    • B. (x² − y²)(dy/dx) = 2xy
    • C. x dy/dx = y
    • D. dy/dx = x/y
  4. Q4

    The area bounded by y = x² and y = x is:

    • A. 1/6
    • B. 1/3
    • C. 1/2
    • D. 1/12
  5. Q5

    The angle between the vectors a = 2i + j + 2k and b = i + 2j − 2k is:

    • A. cos⁻¹(2/9)
    • B. cos⁻¹(1/3)
    • C. 90°
    • D. cos⁻¹(4/9)

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