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

Functions question

2024 · 6 Apr · Shift 1 · Q48
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2024 · 6 Apr · Shift 1 · Q48

Functions question

2024 · 6 Apr · Shift 1 · Q48

JEE MainMathematicsFunctionsMCQ+4 / −1
The function f(x)=x2+2x−15x2−4x+9,x∈Rf(x)=\frac{x^2+2 x-15}{x^2-4 x+9}, x \in \mathbb{R}f(x)=x2−4x+9x2+2x−15​,x∈R is
  1. A
    both one-one and onto.
  2. B
    onto but not one-one.
  3. C
    neither one-one nor onto.
  4. D
    one-one but not onto.
PreviousNext

More from Functions

  • If the function f(x)=(x1​)2x;x>0 attains the maximum value at x=e1​ then :2024 · MCQ
  • Let f(x)=7−sin5x1​ be a function defined on R. Then the range of the function f(x) is equal to :2024 · MCQ
  • If the range of f(θ)=sin4θ+cos2θsin4θ+3cos2θ​,θ∈R is [α,β], then the sum of the infinite G.P., whose first term is 64 and the common ratio is βα​…2024 · Numerical
  • Let f(x)={−ax+a​ if  if ​−a≤x≤00<x≤a​ where a>0 and g(x)=(f(∣x∣)−∣f(x)∣)/2…2024 · MCQ
  • If the domain of the function f(x)=sin−1(2x+3x−1​) is R−(α,β), then 12αβ is equal to :2024 · MCQ
  • If a function f satisfies f( m+n)=f( m)+f(n) for all m,n∈N and f(1)=1, then the largest natural number λ such that ∑k=12022​f(λ+k)≤(2022)2…2024 · Numerical
  • Let the range of the function f(x)=2+sin3x+cos3x1​,x∈R be [a,b]. If α and β ar respectively the A.M. and the G.M. of a and b, then βα​ is equal to2024 · MCQ
  • Let A={(x,y):2x+3y=23,x,y∈N} and B={x:(x,y)∈A}. Then the number of one-one functions from A to B is equal to ​.2024 · Numerical