JEE, NEET, Foundation & CBSE (JEE Advanced 2018

Let S = { 1,2,3,4,}. The total number of unordered pairs of disjoint subsets of S is equal to
1. 25
2. 34
3. 42
4. 41
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :
1. 4
2. 6
3. 12/5
4. 6/25
The distance of the point (1, 3, β7) from the plane passing through the point (1, β 1, β1), having normal perpendicular to both the lines (π§-1)/1 =(ο½+2)/-2=(π©-4)/3 and (π§-2)/2=(ο½+1)/-1=(π©+7)/-1,is
1. 10/β83
2. 5/β83
3. 10/β74
4. 20/β74
οΏΌFor r=0, 1,β¦β¦10, let Aα΅£ ,Bα΅£ and Cα΅£ denote ,respectively , the coefficient of π³β΄ in the expansions of (1+x)ΒΉβ° , (1+x)Β²β° and (1+x)Β³β° ,than ΒΉβ°β α΅£ββ Aα΅£ (BββBα΅£ - Cββ Aα΅£ ) is equal to
1. 0
2. Bββ - Cββ
3. Cββ - Bββ
4. Aββ(BΒ²ββ - Cββ Aββ)
0
0

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