1981 (AIEEE / IIT-JEE, in the JEE Main bank) questions
8 questions, by subject. Each opens with its options and answer.
Mathematics
- The value of the definite integral int_0^1 (1 + e^-x^2) dx is
Definite Integrals and Areas · with solution
- The equation (x^2)/(1-r) - (y^2)/(1+r) = 1, |r| < 1 represents
Conic Sections · with solution
- The general solution of the trigonometric equation sin x + cos x = 1 is given by
Trigonometry · with solution
- Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of A consisting of all determinants with value -1.…
Matrices and Determinants
- The complex numbers z = x + iy which satisfy the equation |(z - 5i)/(z + 5i) | = 1, lie on
Complex Numbers and Quadratic Equations · with solution
- For a real number y, let [y] denotes the greatest integer less than or equal to y. Then, the function f(x) = (tan π [(x-π)])/(1+[x]^2) is \\
Limits Continuity and Differentiability
Chemistry
- Rutherford's experiment on scattering of α-particles showed for the first time that the atom has
Atomic Structure · with solution
- If 0.50 mole of BaCl_2 is mixed with 0.20 mole of Na_3PO_4, the maximum number of moles of Ba_3(PO_4)_2 that can be formed is
Some Basic Concepts of Chemistry · with solution
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