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Yes, CMJ University offers a one-year long Executive MBA programme. Candidates with a Diploma in Engineering and 3 years of work experience/ graduation are eligible to apply. The university accept application forms in online and offline mode. 

$f\left(-2\right)+f\left(3\right)=0.$ One root of f (x) = 0 is (-1)

Let’s assume other root to be a

$\therefore f\left(x\right)=a\left(x+1\right)\left(x-\alpha \right)$

Given that f (-2) + f (3) = 0

a (-2 + 1) (-2 -a) + a (3 + 1) (3 - a) = 0

Þ 14 -3a = 0 Þ a =    $\frac{14}{3}$

$\therefore$ sum of roots =   $\frac{14}{3}-1=\frac{11}{3}$

  ${\tau }_A=0$

2mg ×30 = Mg ×10

$\Rightarrow 2\times 0.01g\times 30=Mg\times 10$          

M = 6 × 10^-2kg

Yes, the aspirants of MBA at CMJ University have to take the university entrance test for selection. The university conducts this entrance exam for selection purposes. Candidates who get shortlisted based on the exam score are called for the group discussion and personal interview round. The final selection is done based on performance in the selection rounds.

T₁ = 727 + 273 = 1000k

T₂ = 127° + 273 = 400 k

Q₁ = 5 × 10³ k cal

$\Rightarrow \frac{600}{1000}=\frac{w}{5000}$                

w = 12.6 × 10⁶ J

$E\alpha \mathcal{l}$

$\Rightarrow \frac{E_1}{E_2}=\frac{{\mathcal{l}}_1}{{\mathcal{l}}_2}$

$\Rightarrow \frac{3}{2}=\frac{75}{{\mathcal{l}}_2}$

${\mathcal{l}}_2=\frac{75\times 2}{3}$

${\mathcal{l}}_2=50cm$

$\&{\mathcal{l}}_1=75cm$

$\Delta \mathcal{l}={\mathcal{l}}_1-{\mathcal{l}}_2=25cm$

COME

$k\cdot E_i+P\cdot E_i=k\cdot E_f+P\cdot E_f$

$\Rightarrow 0+mg\left(h+\frac{h}{2}\right)=0+\frac{1}{2}k{\left(\frac{h}{2}\right)}^2$ $\Rightarrow \frac{3h}{2}mg=\frac{1}{2}k\frac{h^2}{4}$

$\Rightarrow 3mgh=\frac{k}{4}{h}^2\Rightarrow 12\frac{mg}{h}=k\Rightarrow k=\frac{12\times 0.1\times 10}{0.1}$               

k = 120Nm^-1

Uttaranchal University selection criteria is both merit & entrance-based. The university accepts both national-level entrance exams in addition to conducting its own exam. Further, for certain courses, such as BTech, MSc, students are also required to appear for the PI rounds conducted by the university. Find below the selection criteria for some of the popular programmes offered at the university:

R₁ =  $\left\{\left(a,1\right)\in N\times N:\left|a-b\right|\le 13\right\}$

 $\left(a,a\right)\in R_{1}as\left|a-a\right|\le 13\left(Reflexive\right)$

$\left(a,b\right)\&\left(b,a\right)\in R_{1}as\left|a-b\right|=\left|b-a\right|\to \left(symmetric\right).$

But it is not necessary that if (a,b) & (b, c)  $\in R,then\left(a,c\right)\in R$

Eg   $-\left(21,10\right)\in R\&\left(10,1\right)\in Rbut\left(21,1\right)\notin R_1$

R₂ =   $\left\{\left(a,b\right)\in N\times N:\left|a-b\right|\ne 13\therefore R_2\to Notequivalencesolutoin.\right\}$

$\left(a,b\right)\&\left(b,a\right)\in R_{2}as\left|a-b\right|=\left|b-a\right|$

But it is not necessary that if (a, b) & (b, c)  $\in R_2$  then (a, c) also $\in R_2$ .

Eg – (21, 1)   $\in R_2\&\left(1,8\right)\in R_{2}but\left(21,8\right)\notin R_2$

$\mu mg=\frac{k{q}_1{q}_2}{L^2}$

$\Rightarrow 0.25\times 0.01\times 10=\frac{9\times 10^9\times 2\times 10^{-7}\times 2\times 10^{-7}}{L^2}$

$=\frac{9\times 2^2\times 10^{-5+4}}{25\times 10}$

L = 12 cm

The exact date for the merit lists for BPharma admissions in Mahatma Jyoti Rao Phoole University are not yet revealed. Usually, the merit list for BPharma admissions into Mahatma Jyoti Rao Phoole University is scheduled to be released between the months of June and July. Candidates are advised to be prepared with their registration numbers to check whether they got shortlisted or not.

There are nearly 16 colleges/ universities in Meghalaya that offer an MBA course. CMJU MBA is a full-time programme, for which admission is granted on entrance score basis. The admission criteria can vary from one college to another. Mentioned below are some of the colleges that offer MBA in Meghalaya:

• William Carey University
• Techno Global University
• Martin Luther Christian University
• North Eastern Hill University, etc.

For first ball

 s = ut +   $\frac{1}{2}a{t}^2$

$\Rightarrow -h=u\times 6-\frac{1}{2}\times 10\times 6\times 6$

$\Rightarrow -h=6u-180$      

h = 180 - 6u                     -(1)

for second boy

$h=ut\frac{1}{2}a{t}^2$

$h=u\times 1.5+\frac{1}{2}\times 10\times 1.5\times 1.5$             

h = 1.5u + 11.25               -(2)

from (1) & (2)

180 - 6u = 1.5u + 11.25

7.5u = 180 - 11.25

$u=\frac{168.75}{7.5}=22.5$    

h = 180 - 6u

= 180 - 6 × 22.5

45m

for third ball

$h=ut+\frac{1}{2}a{t}^2$

$h=0\times t+\frac{1}{2}\times 10t^2$     

$\Rightarrow 45=5t^2$          

t² = 9

t = 3 sec

IIITD has strong record of placements. The key highlights of IIIT Delhi placements 2025 as compared with 2024 are presented below:

Is minimum at the highest position of the circular path.

hu = hu₀ + K.E

Cases u = 2u₀

h2u₀ = hu₀ + K.E₁

K.E₁ = hu₀

$\frac{1}{2}m{v}_1^2=h{\upsilon }_0$

$v_1^2=\frac{2h{\upsilon }_0}{m}$  

$v_1=\sqrt[]{\frac{2h{\upsilon }_0}{m}}$ - (1)      

Now, cases 2

h 5u₀ = hu₀ + k.E₂

k.E₂ = 4hu₀

$\frac{1}{2}m{v}_2^2=4h{\upsilon }_0$

v₂ =     $\sqrt[]{\frac{8h{\upsilon }_0}{m}}$   - (2)

$\frac{v_2}{v_1}=\sqrt[]{\frac{8}{2}=2}$          

v₂ = 2v₁

The deadline for Mahatma Jyoti Rao Phoole University BPharma admissions is scheduled in the end of April. The last date to apply for admissions into BPHarma courses at Mahatma Jyoti Rao Phoole University is 30th April, according to the official sources. This date has already passed at this point. Candidates who applied for the BPharma courses at Mahatma Jyoti Rao Phoole University during this period can expect the merit list to be released in the months of June and July.

During the admission season, candidates often find it difficult to decide which college to get admission in. With a college preference list, candidates can carry out a college comparison to make a decision. CMJ University MBA is available in six different specialisations. Mentioned below are a few parameters that can be considered for college comparison:

• Fees
• Placement package
• Ranking
• Location
• Faculty, etc.