Mathematics · 2014
JEE Main · 12 April 2014, Shift 1 · Q61
A relation on the set A ={x:|x|<3, x ∈ Z}, where Z is the set of integers is defined by R ={(x, y): y=|x|, x ≠-1}. Then the number of elements in the…
A relation on the set $\displaystyle \mathrm{A}=\{x:|x|<3, x \in Z\}$, where $\displaystyle Z$ is the set of integers is defined by $\displaystyle \mathrm{R}=\{(x, y): y=|x|, x \neq-1\}$. Then the number of elements in the power set of R is :
Official answer
(2)
$\displaystyle 16$
More from Relations and Functions
- Let for some α ∈ R, f: R → R be a function satisfying f(x+y)=f(x)+2 y^2+y+α x y for all x, y ∈ R. If f(0)=-1 and f(1)=2, then the value of…2026
- Let the sets A and B denote the domain and range respectively of the function f(x)=1/(√(x -x)), where x denotes the smallest integer greater than or…2023
- If f(x)= log_e((1-x)/(1+x)),|x|<1, then f((2 x)/(1+x^2)) is equal to:2019
- For x ∈(0,3 / 2), let f(x)=√x, g(x)= tan x and h(x)=(1-x^2)/(1+x^2). If φ(x)=((h ° f) ° g)(x), then φ((π)/3) is equal to:2019
- Consider two sets A={x ∈ Z:|(|x-3|-3)| ≤ 1} and B={x ∈ R-{1,2}: ((x-2)(x-4))/(x-1) log_e(|x-2|)=0}. Then the number of onto functions f: A → B is…2026
- Consider functions f: A → B and g: B → C(A, B, C ⊆ R) such that (g ° f)^-1 exists, then:2021
- Let R be a relation on R, given by R={(a, b): 3 a-3 b+√7 is an irrational number }. Then R is2023
- Let f: R-{0} → R be a function such that f(x)-6 f(1/x)=35/(3 x)-5/2. If the lim_x → 0(1/(α x)+f(x))=β; α, β ∈ R, then α+2 β is equal to2025
JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.