Ask & Answer: India's Largest Education Community

Patanjali University BA fee structure includes various components such as tuition fees, examination fees, training fees, etc. As per the structure, the total tuition fee ranges from INR 66,000 to INR 72,000. To know the other fees, candidates are advised to visit the official website of the university.

Note: The above-mentioned fee is as per the official sources. However, it is indicative and subject to change.

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat\underset{x\to 1}{lim}\frac{x^m-1}{x^n-1}\\ =\underset{x\to 1}{lim}\frac{\frac{x^m-{\left(1\right)}^m}{x-1}}{\frac{x^n-{\left(1\right)}^n}{x-1}}=\frac{m{\left(1\right)}^{m-1}}{n{\left(1\right)}^{n-1}}=\frac{m}{n}\left[?\underset{x\to a}{lim}\frac{x^n-a^n}{x-a}=n.a^{n-1}\right]\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat\underset{x\to 0}{lim}\frac{x^{2}cosx}{1-cosx}\\ =\underset{x\to 0}{lim}\frac{x^{2}cosx}{2si{n}^2\frac{x}{2}}=-1\left[?1-cosx=2si{n}^2\frac{x}{2}\right]\\ =\underset{x\to 0}{lim}\frac{\frac{x^2}{4}\times 4cosx}{2si{n}^2\frac{x}{2}}=\underset{\begin{array}{l}x\to 0\\ \frac{x}{2}\to 0\end{array}}{lim}\frac{{\left(\frac{x}{2}\right)}^2\times 2cosx}{si{n}^2\frac{x}{2}}\\ =\underset{\frac{x}{2}\to 0}{lim}{\left(\frac{\frac{x}{2}}{sin\frac{x}{2}}\right)}^2\times 2cosx=2cos0=2\times 1=2\left[?\underset{x\to 0}{lim}\frac{x}{sinx}=1\right]\\ Hence,thecorrectoptionis\left(a\right).\end{array}$

After completing a BA course offered by Patanjali University, students can expect to start their careers with entry-level job. The salary offered to each student may differ depending on the respective job profile and individual skillset. Following is a list of different job profiles and pay offered to fresh BA graduates:

The total tuition fee for the BSc programme at Risali Institute of Management is INR 2,40,000. Additional charges such as hostel fees, registration fees, and one-time charges may also apply. These figures are indicative and may vary slightly based on official updates.

To be eligible for admission into the BSc programme at Risali Institute of Management, candidates must have passed Class 12 from a recognised board. It is recommended that applicants check specific requirements for their chosen specialisation before applying.

Risali Institute of Management offers a wide range of BSc specialisations, including Sound Engineering, Psychology, Hotel Management, Film Making, and Visual Communication, among others. These industry-relevant options allow students to choose a field aligned with their interests and future goals.

BSc programme at Risali Institute of Management is offered in full-time mode with a duration of three years. It is designed to provide in-depth theoretical and practical knowledge across various specialisations, preparing students for both higher studies and career opportunities in their chosen field.

S. I. unit Pascal – second   $=\frac{N}{m^2}-sec$  

= $\frac{ML{T}^{-2}T}{L^2}$  

= $M{L}^{-1}{T}^{-1}$  

This is an objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Giventhat\underset{x\to \pi }{lim}\frac{sinx}{x-\pi }\\ =\underset{x\to \pi }{lim}\frac{sin\left(\pi -x\right)}{-\left(\pi -x\right)}=-1\left[?\underset{x\to 0}{lim}\frac{sinx}{x}=1and\pi -x\to 0\Rightarrow x\to \pi \right]\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

With 3,82,000 rank. Getting a government college is difficult, especially for general category students. 

Yes, students can get a government job after completing a BA course from Patanjali University. This is because pursuing a BA degree equips students with many employability skills, such as communication, critical thinking, research, and writing. Tabulated below are some of the job profiles for students to pursue after completion of a BA degree from Patanjali University:

To be eligible for admission into the BSc programme at Risali Institute of Management, candidates must have passed Class 12 from a recognised board. It is recommended that applicants check specific requirements for their chosen specialisation before applying.

The fee structure of Patanjali University BA courses comprises multiple fee elements. The major two components are tuition fees and hostel fees. Other than this, the university also charges a one-time admission fee. Combining all, the total fees to pursue the BA programme range from INR 1.43 Lacs to INR 2.96 lakh. To know more, students can check out the below table:

Note: The above-mentioned fee is as per the official sources. However, it is indicative and subject to change.

This is a Short Answer Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Givenf\left(x\right)=\{\begin{array}{cc}\hfill x+2\hfill & \hfill if x\le -1,\hfill \\ \hfill c{x}^2\hfill & \hfill if x>-1\hfill \end{array}\\ LHLf\left(x\right)=\underset{x\to -1^{-}}{lim}\left(x+2\right)=\underset{h\to 0}{lim}\left(-1-h+2\right)\\ =\underset{h\to 0}{lim}\left(1-h\right)=1\\ RHLf\left(x\right)=\underset{x\to -1^{+}}{lim}c{x}^2=\underset{h\to 0}{lim}c{\left(-1+h\right)}^2=c\\ \text{\hspace{0.17em}Since}the\text{\hspace{0.17em}limits}exit.\\ \therefore LHL=RHL\\ \therefore c=1\end{array}$

To learn the basic English words, use techniques like flashcards, repetition, spaced review, and real-world usage to retain words long-term.

After learing the common English words, you can communicate will, but fluency also requires grammar, listening, and practice. This list gives you a strong foundation.