JEE Main | 2014Set, Relation and FunctionHard
Question
If X = {4n - 3n - 1 : n ∈ N} and Y = {9(n - 1) : n ∈ N},
where N is the set of natural numbers, then X ∪ Y is equal to
where N is the set of natural numbers, then X ∪ Y is equal to
Options
A.X
B.Y
C.N
D.Y - X
Solution
X = {(1 + 3)n - 3n - 1, n∈N}
= 32(nC2 + nC3. 3+ ....+3n-2), n ∈ N}
= {Divisible by 9}
Y = {9(n - 1), n ∈ N}
= (All multiples of 9}
So, X ⊆ Y
i.e.,
= 32(nC2 + nC3. 3+ ....+3n-2), n ∈ N}
= {Divisible by 9}
Y = {9(n - 1), n ∈ N}
= (All multiples of 9}
So, X ⊆ Y
i.e.,
Create a free account to view solution
View Solution FreeMore Set, Relation and Function Questions
Let n (U) = 700, n(A) = 200, n(B) = 300 and n= 100, then n is -...The set {x : x ∈ N, x is prime and 3 < x < 5} is-...Let f : (-1, 1) → B, be a function defined by f(x) = tan-1 , then f is both one-one and onto when B is the interva...The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three n...For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 a...