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Calamine is the ore of zinc i.e. ZnCO₃.

Malachite is the ore of copper i.e. CuCO₃.Cu (OH)₂.

ITM Institute of Hotel Management is recognised for its academic quality and industry-oriented curriculum. The BBA programme offers a strong foundation in hospitality with a focus on Hospitality Studies. Students benefit from experienced faculty, practical training, and placement opportunities, making it an excellent choice for those aiming to succeed in the competitive hospitality industry.

Guru Nanak Institute of Engineering and Management admissions are completely based on merit. The college offers admission only on the basis of merit obtained in the qualifying exam. Hence, there is no requirement to appear for an entrance exam. However, in order to secure admission to the institute, candidates must acquire the specified eligibility criteria. The application process takes place online. Candidates must follow the step-by-step process to secure admission to the college.

BBA programme at ITM Institute of Hotel Management offers two kinds of specialisation, Hospitality Studies and International Travel and Tourism Management. The programme focuses on equipping students with the technical skills, creativity, and cultural knowledge needed to excel in hospitality roles worldwide. It combines hands-on training, industry exposure, and academic learning to ensure career readiness.

To be eligible for the BBA programme, candidates must have completed Class 12 from a recognised board with at least 40% aggregate marks. Meeting the eligibility criteria is essential to be considered for admission. Students are also encouraged to review the course details and admission schedule before applying to ensure a smooth application process.

The institute offers a BTech, MTech, BBA and BCA courses. Candidates must complete Class 12 as the basic eligibility criteria. Students can check the table below to know the detailed course-wise eligibility:

  $g\left(2\right)=\underset{x\to 2}{lim}g\left(x\right)=\underset{x\to 2}{lim}\frac{x^2-x-2}{2x^2-x-6}=\underset{x\to 2}{lim}\frac{\left(x-2\right)\left(x+1\right)}{2x\left(x-2\right)+3\left(x-2\right)}$         

$Nowfog=f\left(g\left(x\right)\right)=si{n}^{-1}g\left(x\right)=si{n}^{-1}\left(\frac{x^2-x-2}{2x^2-x-6}\right)$

$\frac{3x^2-2x-8}{2x^2-x-6}\ge 0\&\frac{-x^2+4}{2x^2-x-6}\le 0$

On solving we get  $x\in \left(-\infty ,-2\right)\cup \left[\frac{-4}{3},\infty \right)$

As x = 2 also lies in domain since g(2) $=\underset{x\to 2}{lim}g\left(x\right)$

BBA programme at ITM Institute of Hotel Management is an undergraduate course of three years' duration. It is designed for students aspiring to build a career in the hospitality or management sector, with a specialisation in disciplines like Hospitality Studies & International Travel and Tourism Management. The curriculum blends theoretical knowledge with practical skills to prepare students for industry demands.

Electronic configuration of Fe is [Ar] 4s²3d⁶ and in +3 oxidation state it has [Ar] 4s⁰3d⁵ configuration.

Guru Nanak Institute of Engineering and Management offers several programme across the stream of Engineering, Hotel Management, Computer Applications, etc. The tuition fee at GNIEM ranges between INR 1.2 L – INR 3.1 L. This fee is exclusive of other charges such as Examination fee, Application fee, etc. Therefore, GNIEM is not very costly, but moderately expensive.

Guru Nanak Institute of Engineering and Management does not release cutoff for admission to any course at the college Admission to the college are completely based on the merit obtained in Class 12. In order to secure admission to GNIEM, candidates must have qualified Class 12 from any recognised national or state board and acquire the specified minimum aggregate.

Guru Nanak Institute of Engineering and Management offers admission based on the merit acquired in the last qualifying exam. In order to secure admission to GNIEM College, candidates must fulfil the course-specific eligibility criteria. Candidates can apply to the desired course online on the institute's website.

$h=\frac{cos\theta +3}{2}$

=> $k=\frac{sin\theta +2}{2}$

=> $cos\theta =2h-3\&sin\theta =2k-2$

${\left(h-3/2\right)}^2+{\left(k-1\right)}^2=\frac{1}{4}$

$\therefore$ circle of radius r = $\frac{1}{2}$

Guru Nanak Institute of Engineering and Management offers admission to the college solely based on the merit acquired in Class 12. In order to get admission to BTech at GNIEM, candidates must have qualified Class 12 from any recognised board with a minimum aggregate of 45%. Hence, Class 12 marks are enough to secure admission to GNIEM Punjab.

Guru Nanak Institute of Engineering and Management offers admission solely on the basis of the merit acquired in the qualifying exam. However, the college has specified a minimum aggregate of 45% in Class 12 from any recognised national or state board. Candidates with 85% typically have a decent chance at securing admission to the college.

The seat allocation for BSc programme at Adichunchanagiri University (ACU) is based on merit in Class 12 or a valid KCET score, depending on the specialisation. Higher scores may improve your chances of securing seat in your preferred specialisation. Moreover, each specialisation has its own eligibility criteria to be considered for admissions at ACU.

${\overrightarrow{a}}_1=x\widehat{i}-\widehat{j}+\widehat{k}\&{\overrightarrow{a}}_2=\widehat{i}+y\widehat{j}+z\widehat{k}$

given ${\overrightarrow{a}}_1\&{\overrightarrow{a}}_2$ are collinear then ${\overrightarrow{a}}_1=\lambda {\overrightarrow{a}}_2$

$\Rightarrow \left(x\widehat{i}-\widehat{j}+\widehat{k}\right)=\lambda \left(\widehat{i}+y\widehat{j}+z\widehat{k}\right)$       

Since $\widehat{i},\widehat{j}\&\widehat{k}$ are not collinear so

$Sox\widehat{i}+y\widehat{j}+z\widehat{k}=\lambda \widehat{i}-\frac{1}{\lambda }\widehat{j}+\frac{1}{\lambda }\widehat{k}$     

Hence possible unit vector parallel to it be $\frac{1}{\sqrt[]{3}}\left(\widehat{i}-\widehat{j}+\widehat{k}\right)$ for $\lambda$ =

The scholarship value at IBS Mumbai will only be utilized to modify the programme fee and not for any other reason. Candidates need to meet the eligibility requirements, register, and gain admission in order to get the award. In case a student drops out of the programme, the refund will be determined after making a deduction in terms of the scholarship amount already awarded. These terms provide equitable utilisation of the scholarship amounts.