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Mean = 10 = (3+7+9+12+13+20+x+y)/8
16 = x + y
Variance σ² = 25 = (Σx?²/8) - (mean)²
25 = (3²+7²+9²+12²+13²+20²+x²+y²)/8 = 100
x² + y² = 148
(x+y)² = x² + y² + 2xy
256 = 148 + 2xy
x . y = 54

Yes, MLAT (Medicaps Law Admission Test) is compulsory for taking admission into Medicaps University's BBA LLB Hons course. MLAT is a national-level entrance exam conducted by the university itself. The pattern for MLAT is MCQ-based and is conducted in online mode. Students can also secure scholarships with the scores obtained in the test. 

 Δ = |1 1 1| = 0
|1 2 3|
|3 2 λ|
⇒ 1(2λ - 6) - 1(λ - 9) + 1(-4) = 0
⇒ λ = 1
Δx = |6 1 1|
|10 2 3| = 0
|μ 2 λ|
⇒ 2λ + μ = 16
⇒ μ = 14
μ - λ² = 14 - 1 = 13

Sol. Σ? k(k+1)/2 = (1/2)Σ(k²+k) = (1/2)[ (5051101/6) + (5051/2) ]
The solution uses k=1 to 20.
(1/2)[ (202141/6) + (2021/2) ] = (1/2)[2870+210] = 1540

Students can find the official fee details for the BBA course at Sai Balaji Pune on the university's official website or in the latest admission brochure. Referring to these official sources ensures access to the most accurate and updated information regarding the fee structure and related charges.

The admission process designed by Medicaps University for the BBA LLB (Hons) course starts with the application stage. Once the interested students have filled out the application form, they must appear for the MLAT exam. Once the exam results are announced, the university's admissions committee shortlists students based on MLAT scores. Those who receive the admission letters must appear for the document verification and fee payment process.

D≥0
(a-10)² - 4(2)(33/2 - 2a) ≥ 0
a²-4a-32 ≥ 0 ⇒ a∈(-∞, -4] U [8,∞)

BBA programme at Sai Balaji Pune, comes with a comprehensive fee structure that includes not just the academic charges but also other components like security deposits and hostel facilities. To confirm admission, candidates need to complete the payment process after final selection. The fee is subject to revisions, so students are advised to verify the latest details through official channels.

Yes, candidates willing to enrol into the BBA LLB (H) course offered by Medicaps University can apply online for the course. Those who wish to apply can follow the below-mentioned steps:

1. Visit the university's official website.

2. Navigate to the admission portal.

3. Register by providing the required details.

4. Fill out the application form.

5. Pay the application fees and submit the form.

Tuition fees at BE and BTech courses at Hindusthan College of Engineering and Technology ranges between INR 2 lakh - INR 2.1 lakh in the year 2025. Candidates may also need to pay other fee types such as hostel fees, instutional fees and several one time payments to pursue their chosen course. The fee amount for all fee types may differ between BE and BTech courses.

0 Red, 1 Red, 2 Red, 3 Red
Number of ways = ?C? + ?C?.?C? + ?C?.?C? + ?C?.?C? = 35+175+210+70=490

After completing BBA course at Sai Balaji Pune students can pursue career in finance, operations, human resources and marketing. If students want to continue higher studies they can also pursue MBA from Sai Balaji Pune or from any other college. Graduates can get to entry level positions for HR executives, business analyst and marketing executives with good salary packages.

MICA Ahmedabad offers a large diversity of courses to students in Management field. MICA Ahmedabad admissions are held on the basis of entrance tests. Students seeking course admissions must clear their previous qualifying examination and appear for any of the prescribed entrance exams such as XAT, CAT, MICAT, among others. Students can visit the official website to learn more regarding the course-wise eligibility and specialisation details.

P=(x?,y?). 2yy'-6x+y'=0 ⇒ y' = 6x/(2y+1)
(y?-0)/(x?-3/2) = (1+2y?)/(6x?)
9-6y? = 1+2y? ⇒ y?=1. x?=±2. Slope = ±12/3 = ±4. |n|=4.

Sai Balaji Pune BBA admissions are merit-based, relying on Class 12 academic performance. However, an interaction round may be conducted to further assess students' skills before final selection.

Yes, Sai Balaji Pune offers a full-time 3-year BBA programme spread across six semesters. The curriculum is designed to provide students with a strong foundation in management and industry-relevant exposure.

As per official sources, the application portal for BBA LLB at Medicaps University is now closed for the academic year 2025. The last date to apply for all BBA LLB courses was 30 Jun, 2025. Students must note that the extension of the deadline is completely at the discretion of the concerned authorities.

BBA graduates from Sai Balaji Pune are placed in a variety of reputable companies across multiple industries. The institute's strong industry connections help students secure opportunities in sectors like consulting, finance, marketing, and operations. Top recruiters have included Deloitte, PwC, EY, Exide, and several other leading organisations.

Let tan?¹x = θ ⇒ x=tanθ ⇒ sinθ = x/√(1+x²)
y = (x/√(1+x²)) + (1/√(1+x²)) = (x+1)/√(1+x²). This is not f(x).
Let's follow the solution:
y = (x+1)²/(1+x²) - 1 = (2x)/(1+x²) = f(x)
Now dy/dx = (1/2√y) * f'(x) = .
The solution seems to take y as a different function. Let's assume y = (x/(√(1+x²))) + (1/√(1+x²)) - 1. No.
Let's assume y's derivative is taken w.r.t to f(x).
y = -tan?¹x + c
given y(√3)=π/6 ⇒ π/6 = -π/3 + c ⇒ c=π/2
y = cot?¹x. Now y(-√3) = cot?¹(-√3) = 5π/6