Download App

RELATIONS AND FUNCTIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
MCQ
The domain of definition of the function $\text{f(x)}=\log|\text{x}|$ is:
  • A
    $\text{R}$
  • B
    $\big(-\infty,0\big)$
  • C
    $(0,\infty)$
  • ✓
    $\text{R}-\{0\}$
✓

Answer

Correct option: D.
$\text{R}-\{0\}$
$\text{f(x)}=\log|\text{x}|$
For f(x) to be defined,
$|\text{x}|>0,$ which is always true.
But $|\text{x}|\neq0$
$\Rightarrow\text{x}\neq0$
Thus, $\text{domain(f)}=\text{R}-\{0\}$

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 "MCQ" from RELATIONS AND FUNCTIONS→RELATIONS AND FUNCTIONS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A point $P$ moves so that the sum of squares of its distances from the points $(1,2)$ and $(-2,1)$ is $14$ . Let $f(x, y)=0$ be the locus of $P$, which intersects the $x$-axis at the points $A , B$ and the $y-$axis at the point $C , D$. Then the area of the quadrilateral $ACBD$ is equal to.
→
Two lines are said to be perpendicular if the product of their slope is equal to:
→
If for some $p , q , r \in R$, not all have same sign, one of the roots of the equation $\left(p^{2}+q^{2}\right) x^{2}-2 q(p+r) x$ $+q^{2}+r^{2}=0$ is also a root of the equation $x^{2}+2 x-8=0$, then $\frac{q^{2}+r^{2}}{p^{2}}$ is equal to-
→
The co-ordinates of the point from where the tangents are drawn to the circles ${x^2} + {y^2} = 1$, ${x^2} + {y^2} + 8x + 15 = 0$ and ${x^2} + {y^2} + 10y + 24 = 0$ are of same length, are
→
If $\frac{1}{{b - c}},\;\frac{1}{{c - a}},\;\frac{1}{{a - b}}$ be consecutive terms of an $A.P.$, then ${(b - c)^2},\;{(c - a)^2},\;{(a - b)^2}$ will be in
→
In a $\triangle\text{ABC},$ if a = 2, $\angle\text{B}=60^{\circ}$ and $\angle\text{C}=75^{\circ},$ then b =
→
The locus of the middle points of the chords of the parabola ${y^2} = 4ax$ which passes through the origin
→
$\mathop {\lim }\limits_{x \to \frac{{{\pi ^ + }}}{2}} {e^{\left[ {cotx} \right]}}$ is equal to :-
(where $[.]$ is greatest integer function)
→
Choose the correct answer. Number of solutions of the equation $\tan\text{x}+\sec\text{x}=2\cos\text{x}$ lying in the interval $[0,2\pi]$ is:
→
Logical equivalent proposition to the proposition ∼(p ∨ q) is.
→