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If not specified by the university, you can write up to 1000 words in your SOP for Civil Engineering draft. Keep in mind that your sample SOP for MS in Civil Engineering does not go over 2 pages in length, yet covers everything from your motivations, background, reasons for applying and future goals. 

Candidates who have completed a bachelor's degree can apply for IMT-CDL - Distance Learning PGDM programme. The basic eligibility for PGDM courses is to complete graduation. The institute offers three PGDM courses. Candidates are selected based on merit. 

According to relation between field and potential, we can write

$\overrightarrow{E}=-\frac{dV}{dx}\left(\widehat{i}\right)=-\frac{d\left(3x^2\right)}{dx}\left(\widehat{i}\right)=-6x\left(\widehat{i}\right)$

${\overrightarrow{E}}_{\left(1,0,3\right)}=-6\left(\widehat{i}\right)N/C$

IMT-CDL - Distance Learning offers three PGDM courses. Candidates who have completed a bachelor's degree can apply for PGDM programme. The duration of the PGDM course is two years, PGDM Executive is for 15 months, and PGCM is for 13 months. 

According to Newton’s law of motion, we can write

ma = mg – N = mg -  $\frac{mg}{4}=\frac{3mg}{4}$                              

$\Rightarrow a=\frac{3g}{4}$

According to conservation of energy, we can write

Gain in kinetic energy = Loss in potential energy

$\Rightarrow$  K_f – K_in = U_in - U_f

$\Rightarrow$ K - = mgy – mg (y – y₀) = mgy₀

To access the VITMEE result 2026, candidates can follow the steps below -

• Visit the official website 
• Select the result link and enter the required credentials - registration number and password
• The result will be displayed on the screen
• Check and download for future reference. 

IMT-CDL - Distance Learning admissions are based on merit. Candidates applying for PGDM and Certificate courses must complete graduation. Besides, aspirants also need to meet the eligibility requirement for admission. Once selected, candidates must pay the programme fee to confirm their seats in the institute.

It has some negative impact: Increase anxiety, the fear of losing marks. The disadvantage of less confident applicants Unfairness in some situations.

Yes, to get admission for PGDM and Certificate courses at IMT-CDL - Distance Learning, candidates must meet the eligibility criteria set by the college. Candidates must pass graduation. The selection criteria are based on merit.

Candidates looking for admission must apply at the official website. Aspirants must visit the official website to know the detailed application steps:

Step 1: Visit the official IMT-CDL - Distance Learning website.

Step 2: Fill out the form.

Step 3: Complete and submit it.

In order to get admission at  Institute of Management Technology- Center for Distance Learning (IMT CDL), candidates must keep certain documents ready. Students can check the list of documents below:

• Scanned Class 10, Class 12 and graduation marksheet
• Leaving Certificate
• Aadhaar Card
• Passport-size photograph
• Signature

Note: The list of documents mentioned above is the general documents. For more details, visit the official website.

According to Newton’s laws of motion, we can write

4a = 4g – T . (1), and

40a = T - f_k = T $\mu$ - (40g) ……………… (2)

Adding equations (1) and (2), we can write

44a = 40 – 0.02 × (400) = 32

$\Rightarrow a=\frac{32}{44}=\frac{8}{11}m/s^2$

According to Lorentz’s Force, we can write

$\overrightarrow{F}={\overrightarrow{F}}_{Electric}+{\overrightarrow{F}}_{Magnetic}=q\overrightarrow{E}+q\left(\overrightarrow{v}\times \overrightarrow{B}\right),so$  

Statement I is correct but Statement II is incorrect

The institute offers three PGDM and five Certificate courses. Apart from the PGDM and Certificate courses, the institute also offers an Online MDP course. The classes are conducted in both offline and online modes. Offline classes are held on campus. Candidates can check the table below to know the detailed course eligibility and selection criteria:

Let PT perpendicular to QR

$\frac{x+1}{2}=\frac{y+2}{3}=\frac{z-1}{2}=\lambda \Rightarrow T\left(2\lambda -1,3\lambda -2,2\lambda +1\right)$ therefore

$2\left(2\lambda -5\right)+3\left(3\lambda -4\right)+2\left(2\lambda -6\right)=0\Rightarrow \lambda =2$

$T\left(3,4,5\right)\therefore PT=\sqrt[]{1+4+4}=3\therefore QT=\sqrt[]{26-9}=\sqrt[]{17}$

$\therefore \Delta PQR=\frac{1}{2}\times 2\sqrt[]{17}\times 3=3\sqrt[]{17}$  

Therefore square of  $ar\left(\Delta PQR\right)$ = 153.

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Candidates who have completed their graduation are eligible to apply for admission at IMT-CDL - Distance Learning.  The basic eligibility for PGDM courses is to complete graduation. For Certificate courses, candidates must have at least three years of experience. Apart from the work experience, students who belong to the final semester of PGDM/PGDM-Executive/ PGCM at IMT CDL can apply for certificate courses, excluding the Proficiency Certificate Programme in Financial Management course.

$f\text{'}\left(x\right)=\frac{4x^2-1}{x}$ so f (x) is decreasing in $\left(0,\frac{1}{2}\right)and\left(\frac{1}{2},\infty \right)$ $\Rightarrow a=\frac{1}{2}$  

Tangent at y² = 2x is y = mx + $\frac{1}{2m}$ it is passing through (4, 3) therefore we get m = $\frac{1}{2}or\frac{1}{4}$  

So tangent may be  $y=\frac{1}{2}x+1ory=\frac{1}{4}x+2buty=\frac{1}{2}x+1$  passes through (-2, 0) so rejected.

Equation of normal  $\frac{x}{9}+\frac{y}{36}=1$  

 According to question, we can write

Total moles of gas = n = n_Oxygen + n_Oxygen = $\frac{16}{2}+\frac{128}{32}=12moles$  

Volume of gas = 12 * 22.4 litre = 268.8 litre = 2.688 * 10⁵ cm³ $?27*10^{4}c{m}^3$