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  $?\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}=0$ …….(i)

then

$\overrightarrow{a}+\overrightarrow{c}=-\overrightarrow{b}$

then

$\left(\overrightarrow{a}+\overrightarrow{c}\right)\times \overrightarrow{b}=-\overrightarrow{b}\times \overline{b}$

$\stackrel{}{}\stackrel{}{}\stackrel{}{}\stackrel{}{}\stackrel{}{}$  $\therefore \overrightarrow{a}\times \overrightarrow{b}+\overrightarrow{c}\times \overrightarrow{b}=\overrightarrow{0}$ …….(ii)

Now (S1) : $\stackrel{}{}\stackrel{}{}\stackrel{}{}\stackrel{}{}\stackrel{}{}\text{exception 25:}$

$\left|\overrightarrow{a}\times \overrightarrow{b}+\overrightarrow{c}\times \overrightarrow{b}\right|-\left|\overrightarrow{c}\right|=6\left(2\sqrt[]{2}-1\right)$

$\therefore cos\left(\angle ACB\right)=\sqrt[]{\frac{2}{3}}$

$\therefore \angle ACB=co{s}^{-1}\sqrt[]{\frac{2}{3}}$

$$ $\therefore S\left(2\right)$  is correct

For admission to the BSc programme at Odisha University of Agriculture and Technology, students must present their Class 10 and 12 mark sheets, OUAT admit card, scorecard, category certificate (if applicable), and identity proof. A recent passport-sized photograph and proof of payment for the application fee are also needed during document verification.

Kindly go through the solution

 $\begin{array}{l}T\text{?}\to Absolutetemperature\\ x\to susceptibilities\end{array}\}x\propto \frac{1}{T}$

The duration of B.Ed course at RIE Bhubaneswar is of two years. Candidates must appear for the CEE exam to take admission in this course at the institute. Additionally, they must also fulfil the eligibility criteria before applying for admission. Interested candidates can visit the official website of the institute for more details. 

After the release of the merit list, shortlisted candidates for the BSc programme at Odisha University of Agriculture and Technology (OUAT) must participate in the counseling process. Upon seat allotment, students are required to confirm their admission by paying the applicable tuition fee, ranging from INR 33,000 to INR 59,000, depending on the seat category. Final enrolment is completed after document verification and timely fee payment.

The number of recruiters that took part during the SIHS Pune placements are given below:

Admission to the BSc course at Odisha University of Agriculture and Technology (OUAT) is primarily based on the OUAT Entrance Exam. Candidates are shortlisted mainly on their entrance exam performance, while Class 12 marks also contribute to the final selection. Only those who qualify the entrance exam are eligible for counselling and seat allotment during the admission process.

Let a, b, c be direction ratios of plane containing lines

$\frac{x}{2}=\frac{y}{3}=\frac{z}{5}$

and

$\frac{x}{3}=\frac{y}{7}=\frac{z}{8}$

Equation of plane P is : 1 (x – 3) 1 (y + 4) + 2 (z – 7) = 0

$\Rightarrow x-y+2z-21=0$

Distance from point (2, 5, 11) is

$d=\frac{\left|2+5+22-2\right|}{\sqrt[]{6}}$

$\therefore d^2=\frac{32}{3}$

To apply for the BSc course at Odisha University of Agriculture and Technology, students must register online through the official website. After registration, they must fill out the application form at ouat-lokaseba-odisha.in. The form requires academic, personal, and contact details. A fee of INR 750 must be paid to complete the application.

During the UG program, you must have studied the basics of every Nursing specialization, like Pediatric, Oncology, Gastroenterology, Neurology, etc. This base-level education helps you decide your interests and career goals. Get good marks in graduation and opt for the specialisation you like the most.

Given

E₁ = E₂ = E

$I=\frac{2E}{R=r_1+r_2}$   - (i)

Potential drop across second cell is

  $V_A-E_2+I{r}_2=v_B$

According to question V_A – V_B = 0

E₂ -lr₂ = 0

$\Rightarrow R=r_2-r_1$        

Joining RIE Bhubaneswar for B.Ed course is generally considered a good option. Candidates must consider factors like infrastructure, faculty experience, hostel and mess facilities, curriculum, etc. while taking admission. They can apply online or offline for admission at RIE Bhubaneswar.

Radius of circle S touching x-axis and centre  $\left(\alpha ,\beta \right)$ $$ is |. According to given conditions

${\alpha }^2+{\left(\beta -1\right)}^2={\left(\left|\beta \right|+1\right)}^2$

${\alpha }^2=4\beta as\beta >0$

$$ $\therefore$  Required locus is L : x2 = 4y

The area of shaded region = $2{\displaystyle {\int }_0^{4}2\sqrt[]{y}dy}$ ${\displaystyle {}_{}^{}\text{exception 25:}}$

= $4.{\left[\frac{\frac{y^{\frac{3}{2}}}{3}}{2}\right]}_0^4$ ${\frac{\frac{{}^{\frac{}{}}}{}}{}}_{}^{}$

= $\frac{64}{3}$ $\frac{}{}$ square units.

The tuition fee structure varies between different mods of Mahatma Jyotirao Phule University BSc courses. Individual BSc courses usualy follow a per semester structure for their tuition fee while integrated courses follow a per annum structure. However, some courses in either category can have a different fee structure than the rest. Candidates are advisedto confirm the fee structure by visiting the official website of Mahatma Jyotirao Phule University.  

The OUAT Entrance Exam is the key examination for securing admission to the BSc programme at Odisha University of Agriculture and Technology. Conducted annually by the university, this exam plays a crucial role in the selection process. A portion of seats is also filled through the ICAR exam, but OUAT remains the primary route for admission.

Yes, admissions for the BSc programme at Odisha University of Agriculture and Technology (OUAT) are currently open. Interested candidates should ensure they meet the eligibility criteria, including passing Class 12 with required subjects. Applicants must stay updated with important dates and follow the application and counselling process as announced on the official OUAT website.

SRTMUN shortlists aspirants based on their scores in state-level entrance exams, such as MAH B.Ed CET, MAH MBA CET, MHT CET, etc. for admission to specific courses. The university conducts Common Entrance Test (CET) for admission to programmes, such as BSc, MSc, etc. For all others programmes, merit of the candidates in the last qualifying exam is considered for admission. 

Let inclination of required line is,

So the coordinates of point B can be assumed as

$\left(4-\frac{\sqrt[]{29}}{3}cos\theta ,3-\frac{\sqrt[]{29}}{3}sin\theta \right)$

which satisfies x – y – 2 = 0

$sin\theta -cos\theta =\frac{3}{\sqrt[]{29}}$

By squaring

$sin2\theta =\frac{20}{29}=\frac{2tan\theta }{1+ta{n}^2\theta }$

Point B : $\left(\frac{10}{3},\frac{4}{3}\right)$ $\frac{}{}\frac{}{}$

which also satisfies x + 2y = 6

Yes, in addition to the tuition fee, Odisha University of Agriculture and Technology BSc students may need to pay for other components. These may include exam fees, hostel charges, or development fees. Students should refer to the official website for the full fee structure.