AP EAMCET · Maths · Functions
Consider the following lists.
\(\begin{array}{ll} \text { List I } & \text { List II } \\ \hline \text { (A) } f(x)=\frac{|x+2|}{x+2}, x \neq-2 & \text { 1. }\left[\frac{1}{3}, 1\right] \\ \hline \text { (B) } g(x)=\mid[x \mid x \in R & \text { 2. } Z \\ \hline \text { (C) } h(x)=|x-[x]|, x \in R & \text { 3. } W \\ \hline \text { (D) } f(x)=\frac{1}{2-\sin 3 x}, x \in R & \text { 4. }[0,1) \\ \hline & \text { 5. }\{-1,1\} \end{array}\)
- A \(\begin{array}{llll}A & B & C & D \\ 5 & 3 & 2 & 1\end{array}\)
- B \(\begin{array}{llll}A & B & C & D \\ 3 & 2 & 4 & 1\end{array}\)
- C \(\begin{array}{llll}A & B & C & D \\ 5 & 3 & 4 & 1\end{array}\)
- D \(\begin{array}{llll}A & B & C & D \\ 1 & 2 & 3 & 4\end{array}\)
Answer & Solution
Correct Answer
(C) \(\begin{array}{llll}A & B & C & D \\ 5 & 3 & 4 & 1\end{array}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} (\mathrm{A}) \because f(x) & =\frac{|x+2|}{x+2}, x \neq-2 \\ & =\left\{\begin{array}{ll} \frac{x+2}{x+2}, & x > -2 \\ -\frac{x+2}{x+2}, & x -2 \\ -1, & x < -2\end{cases} \right. \end{aligned}\) So, range of \(f(x)\) is \(\{-1,1\}\). (B) \(\because\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Three non-zero non-collinear vectors \(\hat{\mathbf{a}}, \mathbf{b}\) and \(\hat{\mathbf{c}}\) are such that \(\hat{\mathbf{a}}+3 \hat{\mathbf{b}}\) is collinear with \(\hat{\mathbf{c}}\), while \(\hat{\mathbf{c}}\) is \(3 \hat{\mathbf{b}}+2 \hat{\mathbf{c}}\) collinear with \(\hat{\mathbf{a}}\). Then \(\hat{\mathbf{a}}+3 \hat{\mathbf{b}}+2 \hat{\mathbf{c}}\) equals toAP EAMCET 2014 Medium
- Angle between a diagonal of a cube and a diagonal of its face which are coterminus isAP EAMCET 2025 Medium
- If the pair of lines represented by \(3 x^2-5 x y+P y^2=0\) and \(6 x^2-x y-5 y^2=0\) have one line in common, then the sum of all possible values of \(P\) isAP EAMCET 2024 Easy
- \[
\sin 21^{\circ} \cos 9^{\circ}-\cos 84^{\circ} \cos 6^{\circ}=
\]AP EAMCET 2023 Medium - What is the value ofAP EAMCET 2021 Easy
- The number of ways in which a cricket team of 11 members can be formed out of 6 batsmen, 6 bowlers, 4 all-rounders and 4 wicket keepers by selecting atleast 4 batsmen, atleast 3 bowlers, atleast 2 all-rounders and only one wicket keeper isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- If \(R\) is the set of all real numbers and \(f: R-\{2\} \rightarrow R\) is defined by \(f(x)=\frac{2+x}{2-x}\) for \(x \in R-\{2\}\)AP EAMCET 2014 Medium
- \(\int_{-\pi}^\pi \frac{x \sin x}{1+\cos ^2 x} d x=\)AP EAMCET 2024 Medium
- If each element, of a determinant of third order with value \(A\), is multiplied by 3 , then the value of newly formed determinant isAP EAMCET 2021 Easy
- The locus of the complex number \(z\) such that \(\arg \left(\frac{z-2}{z+2}\right)=\frac{\pi}{3}\)AP EAMCET 2011 Hard
- If and then the sum of all values of satisfying the equation isAP EAMCET 2021 Medium
- A coil in the shape of an equilateral triangle of side \(2 \mathrm{~cm}\) is suspended from a vertex such that it hangs in a vertical plane between the poles of a permanent magnet producing a horizontal magnetic field of \(100 \times 10^{-3} \mathrm{~T}\). The magnetic field is parallel to the plane of the coil. For the moment of couple acting on the coil to be \(2 \sqrt{3} \times 10^{-5} \mathrm{Nm}\), the current to be passed through the coil isAP EAMCET 2019 Hard