TS EAMCET · Maths · Functions
The domain of the function \(f(x)=\frac{1}{\sqrt{|x|-x}}\) is
- A R
- B \((-\infty, 0)\)
- C \((0, \infty)\)
- D \((-\infty, 1)\)
Answer & Solution
Correct Answer
(B) \((-\infty, 0)\)
Step-by-step Solution
Detailed explanation
Given, \(f(x)=\frac{1}{\sqrt{|x|-x}}\) For \(f(x)\) to be defined, \(|x|-x>0 \Rightarrow x < |x|\) \(\Rightarrow x \in(-\infty, 0)\).
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
- If \(\sec \left(\log _2 y^2\right)=\operatorname{cosec}\left(\log _2 x^2\right)\), then \(\frac{d y}{d x}=\)TS EAMCET 2023 Hard
- The number of non-constant functions from to such that for and isTS EAMCET 2019 Medium
- If \(x=\alpha, y=\beta, z=\gamma\) is the solution of the system of equations \(2 x+3 y+z=-1\), \(3 x+y+z=4, x-3 y-2 z=1\), then the value of \(\beta\) isTS EAMCET 2025 Medium
- When \(3^{2023}\) is divided by 16 , the remainder obtained isTS EAMCET 2023 Easy
- In a triangle if thenTS EAMCET 2021 Medium
- If thenTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- A certain question paper contains three parts \(A, B, C\) with four questions in part \(A\), five questions in part \(B\) and six questions in part \(C\). A student is required to answer seven questions choosing at least two questions from each part. Then the total number of different ways a student can choose his seven questions for answering, isTS EAMCET 2020 Medium
- Suppose \(A B C D E\) is a pentagon. The resultant vector of the vectors \(\mathbf{A B}, \mathbf{A E}, \mathbf{B C}, \mathbf{D C}, \mathbf{E D}\) and \(\mathbf{A C}\) isTS EAMCET 2021 Easy
- Match the following:
The correct answer isTS EAMCET 2015 Medium - The equation \(x^2-5 x y+p y^2+3 x-8 y+2=0\) represents a pair of straight lines. If \(\theta\) is the angle between them, then \(\sin \theta\) is equal toTS EAMCET 2013 Easy
- The speed of electromagnetic waves in a medium is \(1.5 \times 10^8 \mathrm{~ms}^{-1}\). If relative permittivity of that medium is 2 , then its magnetic susceptibility is (speed of light in vacuum is \(3 \times 10^8 \mathrm{~ms}^{-1}\) ).TS EAMCET 2023 Medium
- The bond length of \(\mathrm{HCl}\) molecule is \(1.275 Å\) and its dipole moment is \(1.03 \mathrm{D}\). The ionic character of the molecule (in percent) (charge of the electron \(=4.8 \times 10^{-10} \mathrm{esu}\) ) isTS EAMCET 2008 Easy