Download App

Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions1 Mark
MCQ
$\text{f}(\text{x})=\sqrt{9-\text{x}^2}$. Find the domain of the function:
  • A
    $(0, 3)$
  • B
    $(0, 3)$
  • ✓
    $(-3, 3)$
  • D
    $(-3, 3)$
✓

Answer

Correct option: C.
$(-3, 3)$
We know radical cannot be negative.
So, $9-\text{x}^2,\geq 0$
$ (3 - \text{x}) (3 + \text{x}) \geq $
$\Rightarrow (\text{x} - 3) (\text{x} + 3) \leq 0$
$ \Rightarrow \text{x} \in [-3,3].$

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 Relations and Functions→Relations and Functions — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If a normal drawn to the parabola ${y^2} = 4ax$ at the point $(a,\;2a)$ meets parabola again on $(a{t^2},\;2at)$, then the value of $t$ will be
→
The sum of infinite terms of the geometric progression $\frac{{\sqrt 2 + 1}}{{\sqrt 2 - 1}},\frac{1}{{2 - \sqrt 2 }},\frac{1}{2}.....$ is
→
A sentence is called statement if it is $...............$
→
The equation of the bisector of that angle between the lines $x + 2y - 11 = 0$, $3x - 6y - 5 = 0$ which contains the point $(1, -3)$ is
→
The solution of the equation $\left| {\,\begin{array}{*{20}{c}}{\cos \theta }&{\sin \theta }&{\cos \theta }\\{ - \sin \theta }&{\cos \theta }&{\sin \theta }\\{ - \cos \theta }&{ - \sin \theta }&{\cos \theta }\end{array}\,} \right| = 0$, is
→
The number of solutions of the equation $x ^2+ y ^2= a ^2+ b ^2+ c ^2$. where $x , y , a , b , c$ are all prime numbers, is
→
Two card are drawn successively with replacement from a pack of $52$ cards. The probability of drawing two aces is
→
If ${9 \over {(x - 1)\,{{(x + 2)}^2}}} = {A \over {x - 1}} + {B \over {x + 2}} + {C \over {{{(x + 2)}^2}}}$ then $A - B - C = $
→
The probability that a marksman will hit a target is given as $1/5$. Then his probability of at least one hit in $10$ shots, is
→
If the eccentricity of the standard hyperbola passing, through the point $(4, 6)$ is $2$, then the equation of the tangent to the hyperbola at $(4, 6)$ is
→