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$\frac{1}{2}\mathrm{m}{\left(\frac{\mathrm{u}}{3}\right)}^2-\frac{1}{2}{\mathrm{m}\mathrm{u}}^2=-{\mathrm{F}}_{\mathrm{R}}\times 24$

$0-\frac{1}{2}{\mathrm{m}\mathrm{u}}^2=-{\mathrm{F}}_{\mathrm{R}}\times \mathrm{d}$

$\frac{\frac{1}{2}{\mathrm{m}\mathrm{u}}^2}{\frac{1}{2}m{u}^2\times \frac{8}{9}}=\frac{\mathrm{d}}{24}$

$\mathrm{d}=24\times \frac{9}{8}=27\mathrm{c}\mathrm{m}$

Yes, PITM (Prajnanananda Institute of Technology and Management) is affiliated with Maulana Abul Kalam Azad University of Technology. This ensures that the curriculum, examinations, and degree offered are recognised, maintaining strong academic standards and credibility for students pursuing the BCA programme.

(x-a)/3 = (y-b)/ (-4) = (z-c)/12 = -2 (3a-4b+12c+19)/ (3²+ (-4)²+12²)
(x-a)/3 = (y-b)/ (-4) = (z-c)/12 = (-6a+8b-24c-38)/169
(x, y, z) = (a–6, β, γ)
(a-b)-a)/3 = (β-b)/ (-4) = (γ-c)/12 = (-6a+8b-24c-38)/169
(β-b)/ (-4) = -2
=> β = 8+b
=> 3a – 4b + 12c = 150 . (i)
a + b + c = 5
=> 3a + 3b + 3c = 15 . (ii)
Applying (i) – (ii), we get :
= 56 + 216 + 7b – 9c = 56 + 216 – 135 = 137

To pursue a BCA at PITM, students must have passed their Class 12 examination from a recognised board in any stream. Once eligible, they can apply online through the college's official website by filling out the application form, uploading documents, and paying the application fee. Selection details may vary each year.

In order to get admission at Brilliko Institute of Multimedia, Dehradun, candidates must keep certain documents ready. Students can check the list of documents below:

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

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

Let the equation of circle be
x (x-1/2) + y² + λy = 0
=> x² + y² - x/2 + λy = 0
Radius = √ (1/16 + λ²/4) = 2
=> λ² = 63/4 => (x-1/4)² + (y+λ/2)² = 4
∴ This circle and parabola
y-α = (x-1/4)² touch each other, so
α = -λ/2 + 2 => α-2 = -λ/2 => (α-2)² = λ²/4 = 63/16
(4α–8)² = 63

RMIT is ranked at #1 in Australia and #21 in the world for courses in Architecture and Built Environment as per QS Rankings by subject 2025. Few of the reasons to study this course are: 

• Learn in an urban lab of design

• Students can learn from award-winning architects. The staff and alumni of this university have been awarded the prestigious Victorian Architecture model

The university is globally recognised for its contribution to Architecture. The career paths of this university's Architecture graduates are Architect, Design Journalist, Interior Designer, Urban Designer, etc. 

BCA course at PITM is a four-year programme curated with a detailed curriculum to develop strong core technical skills. This programme is ideal for those aspiring to build prosperous careers in the field of computer application. 

A comparison between RMIT University and Deakin University (for choosing CS course) is given below: 

Deakin University offers better employability support and affordability. On the other hand, RMIT University offers better brand value internationally. 

As slope of line joining (1, 2) and (3, 6) is 2 given diameter is parallel to side
∴ a = √ (3-1)²+ (6-2)² = √20 and
b/ (a/2) = 4/a => b = 8/√5
Area
ab = 2√5 * 8/√5 = 16

To be eligible for Certificate course admission at Brilliko Institute of Multimedia, Dehradun, candidates must complete Class 12. Students can check the points below to know the detailed eligibility:

• Complete Class 12
• The selection criteria are merit-based
• The application process is conducted online.

T? = r/ (2r²)²+1)
= r/ (2r²+1)²- (2r)²)
= (1/4) * (4r)/ (2r²+2r+1) (2r²-2r+1)
S? = 1/4 Σ? ¹? [ 1/ (2r²-2r+1) - 1/ (2r²+2r+1) ]
=> S? = (1/4) * (220/221) = 55/221 = m/n
∴ m+n = 276

M? = (√3/4 a²)I × 4 = √3I² no. of turns = 4
M? = a²I × 3 = 3Ia² no. of turns = 3

Yes, YBN University offers BSc programmes in different course specialisations. Some of the available course specialisations are Nursing, Post Basic Nursing, Agriculture, Optometry, etc. Candidates who are Class 12 or equivalent examination pass with required aggregate the subject combination can apply. The eligible students can go to the official website to register and apply.

Yes,  Janki Devi College of Hotel Management admissions 2025 are merit-based. The college grants admissions to candidates in various courses at the UG level. These include- BBA, BSc and UG Diploma. Candidates are selected for these courses based on the merit of graduation. Interested candidates must apply online on the official website of  Janki Devi College of Hotel Management. 

Candidates are admitted to various courses based on merit. The application process at the Brilliko Institute of Multimedia, Dehradun, is conducted online. Here, the admission process is generally in three steps:

1. Where students can apply- At the official website.
2. Selection Procedure: Merit-based
3. Merit-list and Confirmation: Shortlisted candidates must complete document verification and pay the admission fee.

Required area (above x-axis)
A? = 2∫? (8/2 - x - √x)dx
= 2 [16 - 16/4 - 8/3*2] = 40/3
and A? = 4 (1/2 k²) = 2k²

∴ 27 * (40/3) = 5 * (2k²)
=> k = 6
for above x-axis.

220 × i? = 44
⇒ I? = 44/220 = 1/5 = 0.2 A

T? =? C? (x¹/³)? (x? ¹/? )? (5¹/²)? (5? ¹)?
for x¹? : (60-r)/3 - r/5 = 10
=> 180 – 3r – 2r = 60
=> r = 24
k = 3 + exponent of 5 in? C?
= 3 + [60/5] + [60/25] – [24/5] – [24/25] – [36/5] – [36/25]
= 3 + (12+2–4–0–7–1)
= 3+2=5