Download App

Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions1 Mark
MCQ
$\text{f}(\text{x})=\sqrt{9-\text{x}^2}$. Find the range of the function:
  • A
    R
  • B
    R+
  • C
    [-3, 3]
  • D
    [0, 3]
✓

Answer

  1. [0, 3]

Solution:

We know, square root is always non-negative.$\sqrt{9-\text{x}^2}>0$.

So, the range of the function is set of positive real numbers from 0 to 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→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

The complex number z which satisfies the condition $\Big|\frac{\text{i}+\text{z}}{\text{i}-\text{z}}\Big|=1$ lies on:

  1. Circle x2 + y2 = 1
  2. The x-axis
  3. The y-axis
  4. The line x + y = 1
→
If ${{\tan }^{-1}}(\alpha +i\beta )=x+iy,$ then x = [RPET 2002]
→
The line segment joining the points (1, 2) and (-2, 1) is divided by the line 3x + 4y = 7 in the ratio:
  1. 3 : 4
  2. 4 : 3
  3. 9 : 4
  4. 4 : 9
→
If $\alpha,\beta$  are the roots of the equation ax2 + bx + c = 0, then $\frac{1}{\text{a}\alpha+\text{b}}+\frac{1}{\text{a}\beta+\text{b}}$
→

The locus of the point of intersection of lines $\text{x} \cos \text{a} + \text{y} \sin \text{a = a}$ and $\text{x} \sin \text{a - y} \cos \text{a = b}$ (a is a variable):

→
If  $\omega $ is the cube root of unity, then ${{(3+5\omega +3{{\omega }^{2}})}^{2}}$ + ${{(3+3\omega +5{{\omega }^{2}})}^{2}}$ = [MP PET 1999]
→
The equation of the parabola whose focus is (1, -1) and the directrix is x + y + 7 = 0 is
  1. x2 + y2 - 2xy - 18x - 10y = 0
  2. x2 - 18x - 10y - 45 = 0
  3. x2 + y2 - 18x - 10y - 45 = 0
  4. x2 + y2 - 2xy - 18x - 10y - 45 = 0
→
The sum to n terms of the series $\frac{1}{\sqrt{1}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{7}}+\ ....\text{ is}:$
→
The number of terms with integral coefficient in the expansion of $\Big((27)^{\frac{1}{6}}+\sqrt[10]{32\text{x}}\Big)^{600}$ is:
→
IQ of a person is given by the formula.
$\text{IQ}=\Big(\frac{\text{MA}}{\text{CA}}\Big)\times100$ where MA is mental age and CA is chronological age.
If $40\leq\text{IQ}\leq120$ for a group of 10 years old children, find the range of their mental age.
    →