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According to some of the unofficial yet reputable sources, the cost of living in Dubai for International student can be high if not planned properly. The average monthly cost can range from INR 90 K to 2.65 L, which largely depends on the lifestyle of a student. Rent is the the biggest chunk in the total monthly cost which can be lesser if options like PG, Homestays, and private pods are considered.

As a student

Based on a variety of factors like rent, utilities, internet, groceries, transport, and entertainment, below is the estimated monthly cost that can be incurred by an International student in Dubai:

(AED 1 = INR 23.38)

This is a short answer type question as classified in NCERT Exemplar

When the ball A reaches bottom point its velocity in horizontal direction

(a) two balls have same mass and the collision between them is elastic therefore ball A transfers its entire linear momentum to ball B. hence ball A will come to rest after collision and does not rise at all.

(b) speed at B = speed with which A hits the ball B

= $\sqrt[]{2gh}$

$=\sqrt[]{2\times 9.8\times 1}$

$=\sqrt[]{19.6}=4.42m/s$

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

Sol:

$\begin{array}{l}Wehavef\left(x\right)=\left|x-5\right|\\ \Rightarrow f\left(x\right)=\{\begin{array}{l}-\left(x-5\right)ifx-5<0orx<5\\ x-5ifx-5>0orx>5\end{array}\\ Forcontinuityatx=5\\ L.H.L.\underset{h\to 5^{-}}{lim}f\left(x\right)=-\left(x-5\right)\\ =\underset{h\to 0}{lim}-\left(5-h-5\right)=\underset{h\to 0}{lim}h=0\\ R.H.L.\underset{h\to 5^{+}}{lim}f\left(x\right)=x-5\\ =\underset{h\to 0}{lim}\left(5+h-5\right)=\underset{h\to 0}{lim}h=0\\ L.H.L.=R.H.L.\\ So,f\left(x\right)iscontinuousatx=5.\\ Now,fordifferentiability\\ Lf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(5-h\right)-f\left(5\right)}{-h}=\underset{h\to 0}{lim}\frac{-\left(5-h-5\right)-\left(5-5\right)}{-h}\\ =\underset{h\to 0}{lim}\frac{h}{-h}=\frac{h}{-h}=1\\ Rf\text{'}\left(5\right)=\underset{h\to 0}{lim}\frac{f\left(5+h\right)-f\left(5\right)}{h}=\underset{h\to 0}{lim}\frac{\left(5+h-5\right)-\left(5-5\right)}{h}\\ =\underset{h\to 0}{lim}\frac{h-0}{h}=\frac{h}{h}=1\\ So,Lf\text{'}\left(5\right)\ne Rf\text{'}\left(5\right)\\ Hence,f\left(x\right)isnotdifferentiableatx=5.\end{array}$

The Faculty of Liberal Arts at MIT WPU offers a total of 180 seats for its BA programme. These seats are distributed among three specialisations: 120 seats are allocated for BA in Psychology, while both BA in Political Science and BA in English have 30 seats each. This division ensures ample opportunities for students across these popular fields of study.

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

Sol:

$\begin{array}{l}f\left(x\right)isdifferentiableatx=2if\\ Lf\text{'}\left(2\right)=Rf\text{'}\left(2\right)\\ \therefore Lf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(2-h\right)-f\left(2\right)}{-h}=\underset{h\to 0}{lim}\frac{\left(1+2-h\right)-\left(1+2\right)}{-h}\\ =\underset{h\to 0}{lim}\frac{3-h-3}{-h}=\frac{-h}{-h}=1\\ Rf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(2+h\right)-f\left(2\right)}{h}=\underset{h\to 0}{lim}\frac{\left[5-\left(2+h\right)\right]-\left(1+2\right)}{h}\\ =\underset{h\to 0}{lim}\frac{3-h-3}{h}=\frac{-h}{h}=-1\\ So,Lf\text{'}\left(c\right)\ne Rf\text{'}\left(c\right)\\ Hence,f\left(x\right)isnotdifferentiableatx=2.\end{array}$

Student accommodation in Dubai varies based on the lifestyle and personal preferences of a student, for instance, a student choosing to live at Private Hostels, Homestays & PGs, University-hosted accommodation can save significantly.

The table below shows the type of accommodation against the respective monthly cost:

The ANA Group of Institutions offers a total number of five specialisations in the BTech course: Computer Science Engineering with Data Science & AI, Civil Engineering, Electronics and Communication Engineering, Mechanical Engineering, and Electrical Engineering. Moreover, the institute also offers lateral entry to these BTech specialsiations. The basic eligibility requirement and admission process are almost similar for all BTech courses. 

BA Psychology programme includes foundational subjects like Introduction to Indian Psychology, Health Psychology, and Sports Psychology. Students also study General Psychology, Cross-Cultural Psychology, Positive Psychology, Scientific Research Methods, and Application of Statistical Methods in Psychological Research, preparing them for diverse fields within psychology.

This is a short answer type question as classified in NCERT Exemplar

TE=KE+PE

E=V+K

For region A given V>E 

so ‘K=E-V

V>E

 So E-V <0

Hence K<0 this is not possible.

For region B given V

So E-V>0

This is only possible because total energy is greater than PE

For region C given K>E

 So K-E>0

So PE =V= E-K <0

Which is possible because PE can be negative.

For region D given V>K

This is possible because for the system PE may be greater than KE

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

Sol:

$\begin{array}{l}Giventhatf\left(x\right)=\{\begin{array}{l}{x}^{2}sin\frac{1}{x},ifx\ne 0\\ 0,ifx=0\end{array}atx=0.\\ Fordifferentiabilityweknowthat\\ Lf\text{'}\left(c\right)=Rf\text{'}\left(c\right)\\ Lf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(0-h\right)-f\left(0\right)}{-h}=\underset{h\to 0}{lim}\frac{{\left(0-h\right)}^{2}sin\frac{1}{\left(0-h\right)}-0}{-h}=\frac{h^{2}sin\left(\frac{1}{-h}\right)}{-h}\\ =\underset{h\to 0}{lim}h.sin\left(\frac{1}{h}\right)=0\times \left[-1\le sin\left(\frac{1}{h}\right)\le 1\right]=0\\ Rf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(0+h\right)-f\left(0\right)}{h}=\underset{h\to 0}{lim}\frac{{\left(0+h\right)}^{2}sin\frac{1}{\left(0+h\right)}-0}{h}=\underset{h\to 0}{lim}\frac{h^{2}sin\left(\frac{1}{h}\right)}{h}\\ =\underset{h\to 0}{lim}h.sin\left(\frac{1}{h}\right)=0\times \left[-1\le sin\left(\frac{1}{h}\right)\le 1\right]=0\\ So,Lf\text{'}\left(c\right)=Rf\text{'}\left(c\right)=0\\ Hence,f\left(x\right)isdifferentiableatx=0.\end{array}$

This is a short answer type question as classified in NCERT Exemplar

Let v₁ and v₂ are velocities of two balls after collision

According to conservation of momentum

2mv_o = mv₁+ mv₂

2v_o= v₁+v₂

and e= v₂-v₁/2v_o

v₂=v₁+2v_oe

2v₁=2v_o-2ev_o

V₁=v_o (1-e) since e<1 so ball will move after collision.

b)by principle of conservation of linear momentum

P=P₁+P₂

For inelastic collision some KE is lost hence $\frac{p^2}{2m}$ > $\frac{p_1^2}{2m}\frac{p_2^2}{2m}$

P²>p₁²+p₂²

Thus P, P₁ and P₂ are related as shown in fig

P²>p₁²+p₂² this condition only holds when angle is 90.

Pearl Academy Jaipur accepts scores of candidates in its in-house PAF Entrance Exam. Aspirants need to pass both GPT and DAT rounds followed by a personal interview for final selection. Aspirants have to pay the acceptance fees after selection to confirm their seat.

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

Sol:

$\begin{array}{l}Weknowthatafunctionfisdifferentiableatapoint\text{'}a\text{'}initsdomainif\\ Lf\text{'}\left(c\right)=Rf\text{'}\left(c\right)\\ whereLf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(a-h\right)-f\left(a\right)}{-h}andRf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(a+h\right)-f\left(a\right)}{h}\\ Here,f\left(x\right)=\{\begin{array}{l}x\left[x\right],if0\le x\le 2\\ \left(x-1\right)x,if2\le x\le 2\end{array}atx=2.\\ Lf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(2-h\right)-f\left(2\right)}{-h}=\underset{h\to 0}{lim}\frac{\left(2-h\right)\left[2-h\right]-\left(2-1\right)2}{-h}\\ =\underset{h\to 0}{lim}\frac{\left(2-h\right).1-2}{-h}\left[?\left[2-h\right]=1\right]\\ =\underset{h\to 0}{lim}\frac{2-h-2}{-h}=1\\ Rf\text{'}\left(c\right)=\underset{h\to 0}{lim}\frac{f\left(2+h\right)-f\left(2\right)}{h}=\underset{h\to 0}{lim}\frac{\left(2+h-1\right)\left(2+h\right)-\left(2-1\right).2}{h}\\ =\underset{h\to 0}{lim}\frac{\left(1+h\right)\left(2+h\right)-2}{h}=\underset{h\to 0}{lim}\frac{2+h+2h+h^2-2}{h}\\ =\underset{h\to 0}{lim}\frac{3h+h^2}{h}\underset{h\to 0}{=lim}\frac{h\left(3+h\right)}{h}=3\\ Lf\text{'}\left(c\right)\ne Rf\text{'}\left(c\right)\\ Hence,f\left(x\right)isnotdifferentiableatx=2.\end{array}$

The RK University has been providing successful placements over the years. The students are given excellent placement support every year placing them in top companies. Check out the table below to know the key highlights of the RK University placement in 2025:

Graduates from the Faculty of Liberal Arts, MIT WPU have diverse career opportunities based on their specialisation. Psychology graduates can work as clinical or industrial psychologists, counsellors, or in HR roles. Political Science graduates often pursue careers in policy analysis, political consulting, research, and public administration. English graduates find roles in content writing, journalism, editing, and communication. Each field also opens doors to higher studies and civil services.

In order to enroll for course admission at Pearl Academy Jaipur candidates must complete the educational qualification set by the institute. The selection criteria for course admission is entrance-based. The application mode is online. Check the detailed eligibility from the table presented below:

RK University provides good placements to its graduating students. However, the institution has not released the BTech placement packages as of yet. In the meantime, check out the table below to know the key highlights of the RK University placements in 2025: