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$z+\alpha \left|z-1\right|+2i=0$

Let z = x + iy

$\Rightarrow x+i\left(y+2\right)=-\alpha \sqrt[]{{\left(x-1\right)}^2+y^2}$            

for $\alpha \in Ry+2=0\Rightarrow y=-2$

 $x^2={\alpha }^2\left[{\left(x-1\right)}^2+4\right]$

$x^2\left(\frac{1}{{\alpha }^2}-1\right)+2x-5$

$\frac{1}{{\alpha }^2}\ge \frac{4}{5}\Rightarrow {\alpha }^2\le \frac{5}{4}\Rightarrow \frac{-\sqrt[]{5}}{2}\le \alpha \le \frac{\sqrt[]{5}}{2}$

$4\left(p^2+q^2\right)=4\left(\frac{5}{4}+\frac{5}{4}\right)=10$          

= 0

p (10hr) = .1
p (7hr) = .2
p (4hr) = .7

p (s / 10hr) = .8
p (s / 7hr) = .6
p (s / 4hr) = .4

p (s) = .1 × .8 + .2 × .6 + .7 × .4
p (4hr / s) = (.7 × .4) / (.1 × .8 + .2 × .6 + .7 × .4) = 28 / (8 + 12 + 28) = 28 / 48 = 7 / 12

Yes, MCC has announced NEET PG 2025 counselling dates and schedule. Round-1 counselling result was announced on November 22, 2025. Round-2 is underprocess. 

Vellore Institute of Technology has four main campuses in India, which are- 

• VIT, Vellore (main campus),
• VIT, Amravati
• VIT, Chennai
• VIT, Bhopal campus

The dates for TANCET exam changes every year. However, Anna University will likely use a similar timeline every year for the exam. Candidates can expect trhe TANCET exam to be held in March every year. In case of any change in the TANCET exam date, refer to shiksha's TANCET exam date areticle https://www.shiksha.com/mba/tancet-exam-dates

${\displaystyle \sum _{r=1}^{n}ta{n}^{-1}\frac{1}{1+r+r^2}={\displaystyle \sum _{r=1}^{n}ta{n}^{-1}\frac{\left(r+1\right)}{1+r\left(r+1\right)}}}$  

$=ta{n}^{-1}2-ta{n}^{-1}+......+ta{n}^{-1}\left(n+1\right)-ta{n}^{-1}n$            

For n  $\infty$ ->value = $\frac{\pi }{2}-\frac{\pi }{4}=\frac{\pi }{4}$  

$\therefore tan\left(\frac{\pi }{4}\right)=1$        

TANCET is a state level exam conducted for admission to MBA and MCA courses in Tamil Nadu. TANCET stands for Tamil Nadu Common Entrance Test. Anna University conducts the TANCET exam every year in the month of March.

The JEE Mains and SITEEE syllabus both comprise topics from Physics, Chemistry and Mathematics. However, the JEE syllabus is much more comprehensive as compared to the SITEEE syllabus.

The applicant must avoid grammatical mistakes, incoherent language, exceeding the specified word limit, and not answering the question properly. You should also avoid repetitive information and copying from the internet, in your admission essays. 

The number of admission essays required may vary from university to university. The applicant must attempt all the essays. 

The word limit is specified by the university along with the question/ prompt. The word limit can be anywhere between 100-1000 words, depending on the university. The candidates must strictly adhere to the word limit specified.

Most universities require the applicants to write essays on the prompts that they provide. Admission essays help the Ad Com to learn about the personality and other qualities of the candidate that are not reflected anywhere else in the application. 

Yes, candidatescan take admissions into the Marwadi University BCom courses without appearing for the CUET entrance exam. Candidates who wish togain admissions into the Marwadi University are required to clear their Class 12 board exams and apply for admissions. Candidates can apply for admissions after appearing for the CUET entrance exam. However, the final admissionwill be granted to those candidates who clear the Personal Interview round.

BCom courses at Marwadi University are offered in 2 different specialisations which are BCom at Digital Financing and Banking Financial Services & Insurance. Both of these specialisation courses share the same course duration of 3 years like the general BCom course. However, they have a higher tuition fee than the BCom courses at Marwadi University. Candidates can learn more by visiting the official website.

IIM Ahmedabad's selection criteria is entrance-based for the offered courses. Students need to meet both the basic eligibility and clear the selection rounds as well. Check out the table below to know about the selection criteria for IIM Ahmedabad:

Al BCom courses at Marwadi University have a maximum duration of 3 years. Each year is divded into 2 semesters resulting in a total of 6 semesters within the BCom course at Marwadi University. The tuition fee for each BCom course is charged on a per semester basis meaning, there are 6 instalments of Marwadi University BCom tuition fee for students to pay.

Students who have completed their BA (H) in English from AURO University have a wide range of job opportunities. In general, students who have a BA degree in English can pursue different career paths, each with the potential for attractive earnings. Check below to find a list of various job profiles for BA degree holders to pursue and their corresponding average salaries:

• Journalist: INR 3 LPA to INR 5.5 LPA
• Teacher: INR 4 LPA to INR 6.5 lakh
• Human Resource Specialist: INR 2.70 LPA
• Graphic Designer: INR 2.3 LPA to INR 5.1 LPA
• Executive Assistant: INR 3 LPA to INR 3.5 LPA

Pursuing a BA Hons degree from AURO University helps students gain knowledge of various domains such as Psychology, Sociology, History, English, and others. However, in today's competitive times, having only theoretical knowledge might not be enough to be successful in the corporate landscape. In today's time, employers are looking for candidates who possess both theoretical and practical knowledge. Listed below are some of the skills demanded in today's corporate world:

• Digital Marketing
• HR Analytics
• Public Administration
• Foreign Language
• Graphic Designing
• Public Relations Management