1996 (AIEEE / IIT-JEE, in the JEE Main bank) questions
5 questions, by subject. Each opens with its options and answer.
Mathematics
- For the three events A, B and C, P(exactly one of the events A or B occurs) = P(exactly one of the events B or C occurs) = P(exactly one of the events C or A occurs) = p and P(all the three events occurs simultaneously)…
Probability
- For positive integers n_1, n_2 the value of expression (1+i)^n_1 + (1+i^3)^n_1 + (1+i^5)^n_2 + (1+i^7)^n_2, here i = √(-1) is a real number, if and only if
Complex Numbers and Quadratic Equations · with solution
- Find the coordinates of all the points P on the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1, for which the area of the Δ PON is maximum, where O denotes the origin and N is the foot of the perpendicular from O to the tangent…
Application of Derivatives
Chemistry
- Which of the following has the maximum number of unpaired electrons?
Atomic Structure · with solution
- The orbital angular momentum of an electron in 2s-orbital is
Atomic Structure
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