Mathematics · 2026
JEE Main · 6 April 2026, Shift 2 · Q1
Let f: R → R be defined as f(x)=(2 x^2-3 x+2)/(3 x^2+x+3). Then f is:
Let $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ be defined as $\displaystyle f(x)=\frac{2 x^2-3 x+2}{3 x^2+x+3}$. Then $\displaystyle f$ is :
Official answer
From NTA’s final answer key for this paper.
(4)
neither one-one nor onto
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…2026
- For the function f:[1, ∞) →[1, ∞) defined by f(x)=(x-1)^4+1, among the two statements: (I) The set S={x ∈[1,…2026
- Let R={(x, y) ∈ N × N: log_e(x+y) ≤ 2}. Then the minimum number of elements, required to be added in R to…2026
- Let A={1,4,7} and B={2,3,8}. Then the number of elements, in the relation R={((a_1, b_1),(a_2, b_2)) ∈((A ×…2026
- Let A={2,3,4,5,6}. Let R be a relation on the set A × A given by (x, y) R(z, w) if and only if x divides z…2026
- Let f be a polynomial function such that log_2(f(x))=( log_2(2+2/3+2/9+… … ∞)) · log_3(1+(f(x))/(f(1 / x))),…2026
- Consider the relation R on the set {-2,-1,0,1,2} defined by (a, b) ∈ R if and only if 1+ab>0. Then, among the…2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.