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${\left|2\left(\overrightarrow{a}\times \overrightarrow{b}\right)\right|}^2+4{\left(\overrightarrow{a}.\overrightarrow{b}\right)}^2$

$4{\left|\overrightarrow{a}\right|}^2{\left|\overrightarrow{b}\right|}^2$

= 4 × 16 × 9 = 576

Students can find out the DSBS Bangalore collaborations and partnerships below:

$x_1+x_2=6,13\to 6+6=12$

$\begin{array}{l}{x}_1+x_2=4,11,18\to 4+8+1=13\\ x_1+x_2=2,9,16\to 2+9+3=14\\ x_1+x_2=7,14\to 7+5=12\\ x_1+x_2=5,12\to 5+7=12\end{array}$

=63

Dayananda Sagar Business School provides the Post Graduate Diploma in Management programme to students across various specializations. The course is recognised by the AICTE and accepted as equivalent to MBA according to the AIU. Students can choose from the following DSBS Bangalore PGDM specializations:

${\displaystyle \sum _{k=1}^{10}\left(2k-1\right).k{.}^{10}{C}_k}$

$=2\sum {k^2}^{10}{C}_k-\sum k{.}^{10}{C}_k$

$x=1\Rightarrow {\displaystyle \sum _{k=0}^{10}k}{.}^{10}{C}_k=10.2^9$

$x=1\Rightarrow \sum k^2{}^{10}{C}_k=90.2^8+10.2^9=2^8\left(90+201\right)=2^8.110$

S = 2⁹ . 110 – 10.2⁹ = 2⁹ . 100

S = 2⁹ . 100

$\frac{2^{11}.25}{2^1-1}$

Dayananda Sagar Business School, Bangalore has been ranked favorably by various ranking and award bodies. DSBS Bangalore has received a Gold Band Grade-A from R-World Institutional Ranking, and is the 14th Best B-School in Bangalore according to Fortune India 2022. Further rankings include #78 Best B-School in India by The Week 2022, and #80 Best B-School for Future Oriented learning by Business Today 2022.

The training and placement Cell at DSBS provides students with various exposure and capacity-building activities. Some of the top Recruiters are Deutsche Bank, Capgemini, Deloitte, PwC, Accenture, JP Morgan Chase, Toyota, etc. The institute has also partnered with various national and international bodies like Henry Harvin Education, United Nations Global Compact, Austin University, UREKA, and others.

$y^{2}dx+\left(x^2?xy+y^2\right)dy=0$

$\frac{dx}{dy}+\frac{x^2?xy+y^2}{y^2}=0?\frac{dx}{dy}+{\left(\frac{x}{y}\right)}^2?\left(\frac{x}{y}\right)+1=0$

Put x = vy $?v+y\frac{dv}{dy}+v^2?v+1=0$

$?\frac{ydv}{dy}+v^2+1=0$

$?\frac{?}{6}+\mathcal{l}n\left|y\right|=\frac{?}{4}$

$\mathcal{l}n\left|y\right|=\frac{?}{12}$

DSBS course admission is done based on accepted entrance test scores. Students can appear for accepted exams, such as CAT, MAT, XAT, GMAT, SNAP, CMAT, NMAT, etc. Interested applicants must clear their UG degrees and achieve a minimum of 50% in the qualifying exam. Upon achieving valid scoring/ranking in the entrance exam, candidates can then proceed to apply for PGDM admissions at DSBS Bangalore.

Below are the various DSBS Bangalore specializations:

Amity Noida has a good record of placements for courses like MBA, BTech, BCA, MCA, etc. The placement percentage is yet to be released on the official website. Meanwhile, check out the key highlights of Amity Noida placements for the Class of 2023 in the table below:

DSBS Bangalore has a dedicated Placement Cell at its campus. The Cell helps students to be equipped for an industry-oriented career in the Management field. The institute is visited by some of the top recruiters like Deutsche Bank, Capgemini, Deloitte, PwC, Accenture, ICICI Bank, Northern, JP Morgan Chase, Toyota, among others. The DSBS Bangalore the highest package has been recorded at INR 29.9 LPA, while the average package stood at INR 10.25 LPA during the 2025 placements drive.

Dr SS Bhatnagar University of Chemical Engineering and Technology releases its cutoff list based on JAC Chandigarh counselling following JEE Main exams. The cutoff was released for different categories belonging to the All India quota. For the candidates belonging to the General All India category, the cutoff ranks closed between the range of 123744 and 144726. 

For detailed information on the college's cutoff based on categories, rounds, and branches, click here.

AILET entrance exam is conducted once in a year in December every year. The exam is conducted for admission to BA LLB, LLM and Phd programs at the NLU Delhi. Candidates who are appearing in CLAT 2026 can also appear for the AILET exam to increase their chances of admission to NLU Delhi.

Chandigarh College of Architecture cutoff for BArch has been released for round 2 for admission to the BArch course. The cutoff has been released for different categories such as General and EWS, belonging to the All India and Home State quotas. For the General AI category candidates, the closing rank for admission was 216. Meanwhile, for candidates belonging to the General Home State quota, the closing cutoff rank was 2131. 

Cracking AILET exam may seem tough but it can be cleared in first attempt when approached with practical plan-

• Create a realistic plan based on the days left for the exam day
• Read about the sections and important topics
• Alot weeks and days to most important topics
• Practice previous year questions for getting an idea about the exam
• Revise the syllabus often

AILET 2026 syllabus and CLAT 2026 syllabus is not same, both the exams have some common sections but AILET exam does not ask questions from Legal and Quantitative aptitude. Compare the AILET and CLAT exam pattern below: