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

$x^2={\alpha }^2\left[{\left(x-1\right)}^2+4\right]$      = 0

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

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

CMR College of Pharmacy is a reputed institution in the Hyderabad area, and is recognised by the UGC, AICTE, and PCI. The institute offers the courses of BPharma, MPharma, and PharmD in diverse specializations. The specializations offered at CMR College of Pharmacy courses include Pharmaceutics, Pharmacology, Pharmaceutical Analysis, and others.

CMR College of Pharmacy has a vibrant placement atmosphere on its campus. As the 2025 CMR College of Pharmacy placements are still ongoing, the institute has recorded the highest package of INR 3,30,000. So far, 4 recruiters have visited the campus and offered attractive offers to students. The 2024 placements season recorded the highest package at INR 3,21,000, and a total of 51 students being recruited.

Top recruiters at CMR College of Pharmacy placements include Biological E., Cordlife, Apollo Pharmacy, Optum, Amura Health, Admerus Biosciences, etc.

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

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

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

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

No, students interested in CMR College of Pharmacy course admissions can apply without appearing for the CUET exam held nationwide. The institute accepts scoring from examinations such as TS EAMCET, TS PGECET, and GPAT. Students can visit the official website of the institute to learn more about the course-specific eligibility and admissions details.

The Bachelor of Pharmacy (BPharma) programme at CMR College of Pharmacy is approved by the PCI, and is a popular choice among Medical and Pharmaceutical students. The course is provided in various specializations at the institute. CMR College of Pharmacy course admissions for the BPharma programme are held on the basis of entrance-tests, with exams like TS EAMCET, TS PGECET, and GPAT.

CMR College of Pharmacy is a prominent institute of Pharmacy studies located in Hyderabad. The institute is a known institute, and is approved by UGC as a 12B, 2f, and a Science and Industrial Research Organization (SIRO). Further, CMR College of Pharmacy has been recognised by the AICTE and is accredited by the NBA. The various courses are certified by PCI, and the institute is affiliated with Jawaharlal Nehru Technological University, Hyderabad.

Yes, you may get direct admission at DIT University - Admission Office. To get admitted via the management quota, students need to ensure that they satisfy the eligibility criteria of the preferred course. The university reserves a certain amount of total intake for those who have secured a good rank in the last qualifying exam. For more details, students can visit the official website of the university or connect with the admission team of the DIT University - Admission Office.

The Sardar Vallabhbhai Patel Institute of Technology application window is open. The institute accepts admission through an online application. Below-mentioned are the steps to apply for the application:

Step 1: Visit the official website.

Step 2: Click on the Admission Enquiry.

Step 3: Fill in the necessary details to get application credentials.

Step 4: Complete the application form.

Step 5: Pay the application fee and complete the form.

To get admission in DIT University - Admission Office, students need to go through several steps. The first step is to check whether the aspirant fulfils the eligibility requirements set by the university. Eligible students can then apply online for the course of choice. The selection criteria vary depending on the course. Hence, those applying for entrance-based admissions are required to appear for the same. Once the selection rounds are over, selected students need to pay the admission fees of the desired course.

Yes, DIT University - Admission Office admissions are open for several courses. Interested students can go to the official website of the university to apply for the desired programme. The process is online. Before starting the process, students are advised to go through the admission requirements of the desired programme.

Purdue University admitted over 58,000 students,  with 44,100 students are undergraduates and 12,900 are graduate students. Students can check enrollment statistics for Purdue University over the last few years below:

Yes, Sardar Vallabhbhai Patel Institute of Technology offers scholarships to students belonging to the weaker section of society. Below-mentioned are SVIT Vasad scholarships:

The university provides good placements to its graduating students. Check out the table below to know the key highlights of the Motherhood University placements during 2023:

Yes, Sardar Vallabhbhai Patel Institute of Technology offers various sports opportunities for its students. SPIT emphasises a holistic approach to education, including physical development. The institute provides facilities for both indoor and outdoor sports activities. The institute encourages participation in sports through various activities and provides facilities for both indoor and outdoor games. 

The university provides good placement packages its graduating students. Check out the table below to know the packages offered at Motherhood University placements 2023:

As per the statistics of Class of 2029 Purdue admitted over 39,000 students from more than 78K UG applicants. This shows that the Purdue University acceptance rate is 49% which means that the Purdue admissions are moderately competitive.