Download App

STD 12 - 1. relation and function — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 1. relation and function1 Mark
MCQ
Let a function $f:\left( {0,\infty } \right) \to \left( {0,\infty } \right)$ be defined by $f\left( x \right) = \left| {1 - \frac{1}{x}} \right|$. Then $f$ is
  • A
    not injective but it is surjective
  • B
    injective only
  • ✓
    neither injective nor surjective
  • D
    both injective as well as surjective
✓

Answer

Correct option: C.
neither injective nor surjective
c
$y = \left| {1 - \frac{1}{x}} \right|$

Neither one -one nor Onto

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 1. relation and function→STD 12 - 1. relation and function — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

$\int_{}^{} {{{\{ 1 + 2\tan x(\tan x + \sec x)\} }^{1/2}}dx = } $
→
The distance of the point having position vector $ - \,\hat i\, + \,2\hat j\, + 6\hat k$ from the straight line passing through the point $(2, 3, -4)$ and parallel to the vector $6\,\hat i\, + 3\hat j\, - 4\hat k$ is
→
Consider a square matrix of order $5$ such that ${a_{ij}} = 0\,\,\forall \,\,i + j\, = n + 1,\,a_{ij}\, \in \left\{ {0,1} \right\}\,\,\forall \,\,i,j$ . In each row as well as in each column there in only one non-zero element. Then number of such matrices is
→
If ${\cos ^{ - 1}}p + {\cos ^{ - 1}}q + {\cos ^{ - 1}}r = \pi $ then ${p^2} + {q^2} + {r^2} + 2pqr = $
→
A particle moves in a straight line so that $s = \sqrt t $, then its acceleration is proportional to
→
$\int {\frac{{dx}}{{{{({a^2} + {x^2})}^{3/2}}}}} $ is equal to
→
Let $f:R \to R$ be a function defined by $f(x) = \frac{{x - m}}{{x - n}}$, where $m \ne n$. Then
→
$\int_0^1 {\frac{{{{\tan }^{ - 1}}x}}{{1 + {x^2}}}} \,dx = $
→
If $\int\frac{2^{\frac{1}{\text{x}}}}{\text{x}^2}\text{dx}=\text{k }2^{\frac{1}{\text{x}}}+\text{C},$ then k is equal to:
→
The area included between the parabolas $y^2 = 4x$ and $x^2 = 4y$ is $($in square units$)$
→