1988 (AIEEE / IIT-JEE, in the JEE Main bank) questions
13 questions, by subject. Each opens with its options and answer.
Mathematics
- One hundred identical coins, each with probability p, of showing up heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p…
Probability
- The value of the expression √(3)cosec 20°-sec 20° is equal to
Trigonometry · with solution
- If a circle passes through the point (a, b) and cuts the circle x^2 + y^2 = k^2 orthogonally, then the equation of the locus of its centre is
Circles
- The complex numbers sin x + i cos 2x and cos x - i sin 2x are conjugate to each other, for
Complex Numbers and Quadratic Equations
- If y^2 = P(x) is a polynomial of degree 3, then 2d/dx (y^3(d^2y)/(dx^2) ) equals
Limits Continuity and Differentiability
- If P = (1, 0), Q = (-1, 0) and R = (2, 0) are three given points, then locus of the points satisfying the relation SQ^2 + SR^2 = 2SP^2 is
Straight Lines and Pair of Lines · with solution
Chemistry
- The oxidation number of phosphorus in Ba(H_2PO_2)_2 is
Redox and Electrochemistry · with solution
- The equivalent weight of MnSO_4 is half of its molecular weight, when it converts to
Redox and Electrochemistry
- In which mode of expression, the concentration of a solution remains independent of temperature?
Solutions
- The outermost electronic configuration of the most electronegative element is
Atomic Structure · with solution
- The orbital diagram in which the Aufbau principle is violated
Atomic Structure
- The wavelength of a spectral line for an electronic transition is inversely related to
Atomic Structure
Physics
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