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1984 (AIEEE / IIT-JEE, in the JEE Main bank) questions

9 questions, by subject. Each opens with its options and answer.

Mathematics

  1. The locus of the mid-point of a chord of the circle x^2 + y^2 = 4 which subtends a right angle at the origin, is

    Circles · with solution

  2. (1 + cos(π)/8 ) (1 + cos(3π)/8 ) (1 + cos(5π)/8 ) (1 + cos(7π)/8 ) is equal to

    Trigonometry

  3. Three identical dice are rolled. The probability that the same number will appear on each of them, is

    Probability · with solution

  4. lim_n → ∞ ( 1/(1-n^2) + 2/(1-n^2) + … + n/(1-n^2) ) is equal to

    Limits Continuity and Differentiability · with solution

  5. The equation x - 2/(x-1) = 1 - 2/(x-1) has

    Complex Numbers and Quadratic Equations · with solution

  6. For real x, the function ((x-a)(x-b))/((x-c)) will assume all real values provided

    Complex Numbers and Quadratic Equations · with solution

Chemistry

  1. The increasing order (lowest first) for the values of e/m (charge/mass) for electron (e), proton (p), neutron (n) and alpha particle (α) is

    Atomic Structure

  2. Which electronic level would allow the hydrogen atom to absorb a photon but not to emit a photon?

    Atomic Structure · with solution

  3. Correct set of four quantum numbers for the valence (outermost) electron of rubidium (Z = 37) is

    Atomic Structure

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