Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Functions question

2022 · 27 Jul · Shift 1 · Q43
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2022 · 27 Jul · Shift 1 · Q43

Functions question

2022 · 27 Jul · Shift 1 · Q43

JEE MainMathematicsFunctionsNumerical+4 / −1
Let f(x)=2x2−x−1f(x)=2 x^{2}-x-1f(x)=2x2−x−1 and S={n∈Z:∣f(n)∣≤800}\mathrm{S}=\{n \in \mathbb{Z}:|f(n)| \leq 800\}S={n∈Z:∣f(n)∣≤800}. Then, the value of ∑n∈Sf(n)\sum\limits_{n \in S} f(n)n∈S∑​f(n) is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Functions

  • The number of functions f, from the set A={x∈N:x2−10x+9≤0} to the set B={n2:n∈N} such that f(x)≤(x−3)2+1, for every x∈A…2022 · Numerical
  • Let f : R → R be a function defined by f(x)=e2x+e2e2x​. Then f(1001​)+f(1002​)+f(1003​)+.....+f(10099​)…2022 · Numerical
  • Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Define f : S → S as f(n)={2n2n−11​,,​ifn=1,2,3,4,5ifn=6,7,8,9,10​. Let g : S → S be a…2022 · Numerical
  • Let α,β and γ be three positive real numbers. Let f(x)=αx5+βx3+γx,x∈R and g:R→R be such that g(f(x))=x for all x∈R. If a1​,a2​,a3​,…,an​…2022 · MCQ
  • For p,q∈R, consider the real valued function f(x)=(x−p)2−q,x∈R and q>0. Let a1​, a2′​a3​ and a4​…2022 · Numerical
  •  Let f(x)=ax2+bx+c be such that f(1)=3,f(−2)=λ and  f(3)=4. If f(0)+f(1)+f(−2)+f(3)=14, then λ is equal to :2022 · MCQ
  • Let a function f : N → N be defined by f(n)=​2n,n−1,2n+1​,​n=2,4,6,8,......n=3,7,11,15,......n=1,5,9,13,......​ then, f is2022 · MCQ
  • Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S × S → S : f is onto and f (a, b) = f (b, a) ≥ a ∀(a, b) ∈ S × S } is ​.2022 · Numerical