JEE, NEET, Foundation & CBSE (JEE Advanced 2018

If two different numbers are taken from the set {0, 1, 2, 3, ......, 10}, then the probability that their sum as well as absolute difference are both multiple of 4, is :
  1. 6/55
  2. 7/55
  3. 12/55
  4. 14/45
Two parallel chords of a cycle of radius 2 are at a distance √(3+1) part . If the chords subtend at the center , angles of π/k and 2 π/k where k>0. then value of [k] is {Note []k denotes the largest integer less than or equal to k ]
  1. 3
  2. 2 √3
  3. (2 √3+1)k
  4. None of these
If 5(tan²x – cos²x) = 2cos2x + 9, then the value of cos4x is :
  1. 1/3
  2. 2/9
  3. (-7)/9
  4. (-3)/5
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
If, for a positive integer n, the quadratic equation, x(x + 1) + (x + 1) (x + 2) + …..+ (x+ n-1)(x+n)=10n has two consecutive integral solutions, then n is equal to :
  1. 9
  2. 10
  3. 11
  4. 12
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