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Consider the equation of plane,

$P:\left(2x+3y+z+20\right)+\lambda \left(x-3y+5z-8\right)=0$

$?$ Plane P is perpendicular to 2x + 3y + z + 20 = 0

So,  $4+2\lambda +9-9\lambda +1+5\lambda =0$

0 $\lambda =7$

P : 9x – 18y + 36z – 36 = 0

Or P : x – 2y + 4z = 4

If image of

$\left(2,-\frac{1}{2},2\right)$

In plane P is (a, b, c) then

$\frac{a-2}{1}=\frac{b+\frac{1}{2}}{-2}=\frac{c-2}{4}$

and $\left(\frac{a+2}{2}\right)-2\left(\frac{b-\frac{1}{2}}{2}\right)+4\left(\frac{c+2}{2}\right)=4$

clearly

$a=\frac{4}{3},b=\frac{5}{6}andc=-\frac{2}{3}$

So, a : b : c = 8 : 5 : 4

$?{\mathcal{l}}_{1}and{\mathcal{l}}_2$ are perpendicular, so

$3\times 1+\left(-2\right)\left(\frac{\alpha }{2}\right)+0\times 2=0$

a = 3

Now angle between ${\mathcal{l}}_{2}and{\mathcal{l}}_3$ ,

$cos\theta =\frac{1\left(-3\right)+\frac{\alpha }{2}\left(-2\right)+2\left(4\right)}{\sqrt[]{1+\frac{{\alpha }^2}{4}+4}.\sqrt[]{9+4+16}}$

$\Rightarrow cos\theta =\frac{\frac{2}{29}}{2}\Rightarrow \theta =co{s}^{-1}\left(\frac{4}{29}\right)=se{c}^{-1}\left(\frac{29}{4}\right)$

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For admission to the BBA programme at Raffles University, students must submit documents such as 10th and 12th mark sheets, migration and character certificates, date of birth proof, Aadhaar card copy, passport-size photographs, and gap or equivalence certificates (if applicable). These documents are essential to complete the Raffles University BBA admission process.

Thompson Rivers University expects a minimum GPA of 3 on a 4-point scale from international undergraduate and graduate students. Some programs may expect a higher GPA along with the mandatory requirements. Students must fulfill the eligibility criteria by holding a bachelor's degree from a recognised university or equivalent for postgraduate studies and proof of high school completion for undergraduate studies.

Thompson Rivers University offers a lot of scholarships to international students. Some of the popular scholarships include International Athletic Scholarship, Engineering Scholarship, Social Media Ambassador Awards, Diversity scholarships, etc. Students can check the scholarships mentioned below:

The final step of admission to the BBA course at Raffles University is the fee payment. Once a student is selected through the Situation Test and Personal Interview, they must confirm their admission by paying the required tuition fee. The total tuition fee for the three-year BBA programme at Raffles University is INR 1.8 lakh, excluding other charges.

The Raffles University BBA selection process includes a Situation Test and a Personal Interview. The final selection is based on a composite score, 40% weightage for the Situation Test and 60% for the Personal Interview. This process ensures candidates are evaluated holistically for the BBA programme at Raffles University.

To apply for the BBA course at Raffles University, candidates must visit the official admission portal and fill out the online application form. After registering with personal and academic details, they must verify their email, log in, complete the form, and pay the application fee. Applications for Raffles University BBA Admission 2025 are currently open.

The Medicaps University eligibility criteria for the BPharma course prescribe the conditions to be fulfilled by the candidates willing to enrol. As per the university's official website, students who have passed the Class 12 examination with PCB/PCM and a minimum of 50% marks from a recognised board of India are eligible to apply for the course.

The Medicaps University BPharma course runs for a duration of four years. During this course duration, students who have taken admission in the course study various subjects related to Pharmacy. Moreover, the mode of education for this course is full-time. Candidates willing to take admission must apply for the course and appear for the university's entrance test. The applications can be submitted via the university's official website.

The total tuition fees for pursuing a Medicaps University BPharma course amount to INR 5 lakh. This fee is applicable for a duration of four years. Other than tuition fees, students residing in hostels are also charged hostel fees.

Note: The fee mentioned above is as per the official sources. However, it is indicative and subject to change.

Raffles University has not yet announced the official last date for BBA admissions. However, the application process is currently open, and students are encouraged to apply as early as possible to secure their seats. To stay informed and avoid missing out on this opportunity, it is advisable to regularly check the official website for updates on the Raffles University BBA application deadline.

Yes, admissions for the BBA programme at Raffles University are currently open for the 2025 academic session. Interested candidates can begin the application process online. It is advised to apply early and stay updated with official announcements on important dates.