TS EAMCET · Maths · Functions
The domain of the real valued function \(f(x)=\frac{\sqrt{|x|-x}}{\sqrt{x-[x]}}\) is
- A \(\mathbb{Z}\)
- B \(\phi\)
- C \(\mathbb{R}-\mathbb{Z}\)
- D \(\mathbb{R}\)
Answer & Solution
Correct Answer
(C) \(\mathbb{R}-\mathbb{Z}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text f(x)=\sqrt{\frac{|x|-x}{x-[x]}} \\ & x-[x]=\{x\} \\ & \text { for } x \in Z,\{x\}=0 \\ & \therefore \quad \text { Domain : } R-Z\end{aligned}\)
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
- A rod of length units slides with its ends on the coordinate axes. The locus of the midpoint of the rod isTS EAMCET 2021 Easy
- \[ \lim _{x \rightarrow 0}\left(\frac{4 !}{x^8}\left(1-\cos \frac{x^2}{3}-\cos \frac{x^2}{4}+\cos \frac{x^2}{3} \cos \frac{x^2}{4}\right)\right)= \]TS EAMCET 2022 Easy
- If \(1, \omega, \omega^2\) are the cube roots of unity and \(\alpha=\omega+2 \omega^2-3\), then \(\alpha^3+12 \alpha^2+48 \alpha+3\) equalsTS EAMCET 2015 Easy
- If a circle passing through \(\mathrm{A}(1,1)\) touches the \(\mathrm{X}\)-axis, then the locus of the other end of the diameter through \(A\) isTS EAMCET 2023 Medium
- If \(\frac{d}{d x}\left\{\left(\frac{x-1}{x-\sqrt{x}}\right) e^{2 x+1}\right\}=\frac{x-1}{x-\sqrt{x}} e^{2 x+1} f(x)\), then \(f(4)=\)TS EAMCET 2025 Medium
- If and are the mean deviations from mean and median of the first even integers thenTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- A \(10 \Omega\) coil of 180 turns and diameter \(4 \mathrm{~cm}\) is placed in a uniform magnetic field so that the magnetic flux is maximum through the coil's cross-sectional area. When the field is suddenly removed a charge of \(360 \mu \mathrm{C}\) flows through a \(618 \Omega\) galvanometer connected to the coil, find the magnetic field.TS EAMCET 2019 Hard
- Assertion (A) If \(A=15^{\circ}, B=17^{\circ}\) and \(C=13^{\circ}\), then \(\cot 2 A+\cot 2 B+\cot 2 C\) \(=\cot 2 A \cot 2 B \cot 2 C\) Reason (R) In a \(\triangle P Q R\), \(\tan \frac{P}{2} \tan \frac{Q}{2}+\tan \frac{Q}{2} \tan \frac{R}{2}+\tan \frac{P}{2} \tan \frac{R}{2}=1\) The correct option among the following isTS EAMCET 2020 Hard
- If the vector \(\mathbf{a}=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+6 \hat{\mathbf{k}}\) and \(\mathbf{b}\) are collinear and \(|\mathbf{b}|=21\), then \(\mathbf{b}\) equal to:TS EAMCET 2005 Easy
- The moment of inertia of a meter scale of mass \(0.6 \mathrm{~kg}\) about an axis perpendicular to the scale and located at the \(20 \mathrm{~cm}\) position on the scale in \(\mathrm{kg}-\mathrm{m}^2\) is : (Breadth of the scale is negligible)TS EAMCET 2003 Medium
- In the Dewar's method of separation of noble gases, the mixture of noble gases is kept in contact with coconut charcoal at \(173 \mathrm{~K}\) which one of the following gaseous mixtures is not adsorbed on to the charcoal?TS EAMCET 2004 Medium
- If the coefficients of variation of two distributions are 40 and 20 and their variances are 144 and 64 respectively, then the mean of their arithmetic means isTS EAMCET 2018 Medium