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Synthetic gas is a syn-gas which is also called water gas i.e. mixture of (CO + H₂)

$\underset{\left(Redhot\right)}{C+H_{2}O}\to \underset{\left(1:1\right)mixture}{CO+H_2}$

$ar\left(\Delta ABC\right)=\frac{1}{2}\left|\begin{array}{ccc}\hfill a\hfill & \hfill 0\hfill & \hfill 1\hfill \\ \hfill b\hfill & \hfill 2b+1\hfill & \hfill 1\hfill \\ \hfill 0\hfill & \hfill b\hfill & \hfill 1\hfill \end{array}\right|=\frac{1}{2}\left[a\left(2b+1-b\right)+\left(b^2\right)\right]=\frac{1}{2}\left[ab+a+b^2\right]$  

Given ar (  $\Delta ABC)$ = 1 so |ab + a + b²| = 2

  $\Rightarrow a\left(b+1\right)+b^2=\pm 2$             

a = $\frac{-b^2+2}{b+1},\frac{-b^2-2}{b+1}$  

So sum = $\frac{-2b^2}{b+1}$  

Students can learn more about the placements, salaries, and top recruiting companies at the top private MBA colleges in Hyderabad by reading the table below:

Disclaimer: This information is sourced from the official website and may vary.

Equation of line PQ :

$\frac{x-1}{2}=\frac{y+2}{3}=\frac{z-3}{-6}=k$

So, let Q (2k + 1, 3k – 2, -6k + 3) Q lies on given plane so

2k + 1 – 3k + 2 – 6k + 3 = 5

$-7k=-1ork=\frac{1}{7}$

So, $Q\left(\frac{9}{7},\frac{-11}{7},\frac{15}{7}\right)$

Now required distance = PQ = $\sqrt[]{\frac{4}{49}+\frac{9}{49}+\frac{36}{49}}=1$

The BSc course curriculum at State Institute of Hotel Management (SIHM), Durgapur consists of the following topics:-

• Hotel Accountancy
• Food Safety and Quality
• Human Resource Management
• Facility Planning
• Financial Management, etc.

Students can evaluate the financial value of pursuing an MBA from the top private MBA colleges in Hyderabad by analyzing the ROI using the table below:

Disclaimer: This information is sourced from the official website and may vary.

The total seat intake for AAE Bangalore for the BBA programme in 2025 is 60. BBA at AAE is offered in two specialisations: BBA (General) and BBA (Aviation Management). The course duration of the programme is three-years. In total, there are six semesters in the programme.

No, candidates who have qualified for the CPGET 2025 can only participate in the counselling process. The Osmania University will release the merit list of candidates who have passed the CPGET test. Candidates whose name are not present in the list are not eligible for counselling process. 

Some the top recruiters for GEMS B School Placement are listed below:

Joining State Institute of Hotel Management (SIHM), Durgapur for BSc course is generally considered a decent option. Candidates must consider factors like infrastructure, faculty experience, hostel and mess facilities if provided, curriculum, etc. while taking admission. They can apply online or offline for admission at State Institute of Hotel Management (SIHM), Durgapur.

Sure! Take a look at the table below for some information about the top private MBA colleges in Hyderabad.

Disclaimer: This information is sourced from the official website and may vary.

Equation of tangent at P (2, -4)

y (-4) = 4 (x + 2)

x + y + 2 = 0

So, A (-2, 0)

Equation of normal at P:

y + 4 = 1 (x – 2)

x – y = 6

So, B (-2, -8)

For square mid-point of AB = mid-point of PQ

$\Rightarrow \frac{a+2}{2}=-2\Rightarrow a=-6$        

$\frac{b-4}{2}=\frac{-8}{2}\Rightarrow b=-4$   

So, 2a + b = -16

The duration of BSc course at State Institute of Hotel Management (SIHM), Durgapur is of three years. Candidates must pass Class 12 with a valid aggregate and from a recognised board to apply for admission in the course. Additionally, they must appear for the NCHMCT JEE exam for selection in the course and appear for the counselling process of the same. 

No, UAS Bangalore BTech admissions are entrance-based. The university accepts valid KCET scores for admission to its BTech courses. Students seeking admission to this programme must register and appear for the aforementioned exam. Based on these scores, students are ranked and allocated a seat via KCET counselling. Apart from KCET, the university accepts ICAR AIEEA scores for few courses.

Here is a table summarising the semester fee at Academy of Aviation & Engineering, Bangalore for BBA in 2025: