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After completing a BCom (Hons) at Karnavati University, graduates are eligible for various jobs in the government sector. Graduates are required to appear for the recruitment exams conducted by the recruiting organisations or government departments to secure a government job. The following table presents some government job options for BCom graduates of the university, along with their resepctive average salaries:

Note: The above-mentioned are industry-based average payouts. The actual salary may differ from student to student based on their skills and competency.

Let $f:X\to Y$ be an invertible function.

Also, suppose f has two inverses (say g₁ and g₂ ).

Then, for all y ∈ Y, we have:

$\begin{array}{l}fo{g}_1\left(y\right)=I_y\left(y\right)=fo{g}_2\left(y\right)\\ \Rightarrow f\left(g_1\left(y\right)\right)=f\left(g_2\left(y\right)\right)\end{array}$  [f is invertible => f is one-one]

$\Rightarrow g_1=g_2$  [g is one-one]

Hence, f has a unique inverse.

Yes, Shri Vishwakarma Skill University offers BCA.

• The course is available in specialisations like AI & ML, Data Science, and Research.

• It is offered as BCA or BCA (Honours).

• The programme is taught on the university campus.

• It follows a skill-based and vocational learning model.

• Admission is based on eligibility criteria set by the university.

As per the report, the the highest and average package offered in 2024 stood at INR 42.82 LPA and INR 9.38 LPA, respectively. The key highlights of Easwari School of Liberal Arts, SRM University Andhra Pradesh placements for the Class of 2024 are tabulated below:

Note: The above-mentioned placement stats are the cumulative stats of all the courses of SRM University AP.

$f:R_{+}\to [4,\infty )$ is given as $f\left(x\right)=x^2+4$ .

One-one:

$\begin{array}{l}Let,f\left(x\right)=f\left(y\right).\\ \Rightarrow x^2+4=y^2+4\\ \Rightarrow x^2=y^2\\ \Rightarrow x=y\left[as,x=y\in R\right]\end{array}$

$\therefore f$ is a one-one function.

The highest package offered during the 2024 placement drive at Easwari School of Liberal Arts, SRM University AP stood at INR 42.82 LPA. The same is tabulated below: 

53. Let P be the point on the BC dropped from vertex A.

Slope of BC$=\mathrm{2\; -}$
$\frac{\mathrm{(-1)}}{1\; -4}$

$=\frac{2+1}{-3}$

$=\frac{3}{-3}$

= $-$ 1.

As A P $\perp$ BC,

Slope of AP= $\frac{-1}{\mathrm{slope\; of\; B}C}=\frac{-1}{-1}=1.$

Using slope-point form the equation of AP is,

$1=\frac{y-3}{x-2}$

$\Rightarrow$ x $-$ 2 = y $-$ 3

$\Rightarrow$ x – y – 2 + 3 = 0 $\Rightarrow$ x – y + 1 = 0

The equation of line segment through B(4, -1) and C(1, 2) is.

$y-(-1)=\frac{2-(-1)}{1-4}(x-4).$

$\Rightarrow y+1=\frac{2+1}{-3}(x-4)$

$\Rightarrow (y+1)=\frac{3}{-3}(x-4).$

$\Rightarrow y+1=-(x-4)$

$\Rightarrow xy+1=-x+4$

$\Rightarrow -x+y+1-4=0$

$\Rightarrow$ $x+y-3=0$

So, A=1, B=1 and C= $-$ 3.

Hence, length of AP=length of $\perp$ distance of A(2,3) from BC.

BA Yoga course requires at least Class 12 qualifications with 50% marks in any stream from a recognised board of India. The eligibility criteria for BA Yoga course varies from one college to another college. 

BA Yoga is an undergraduate course which continues for a 3 year duration approximately. Some BA Yoga colleges in India may also require entrance exam qualifications for accepting admission.

Students can check more information about Yoga courses below:

All about Yoga courses

Yes, CII Institute of Hospitality- Hyatt Mumbai applications are out. Students interested in joining the institute may visit the official website of the institute to apply for the desired course by filling out the application form and providing the required details. Aspirants need to upload the specified documents to submit the form. For more information, students can head over to the institute's official website.

Yes, Easwari School of Liberal Arts, SRM University Andhra Pradesh conducts placement drives annually its BSc and BA courses. The key highlights of Easwari School of Liberal Arts, SRM University Andhra Pradesh placements for the Class of 2024 are tabulated below:

Note: The above-mentioned placement stats are the cumulative stats of all the courses of SRM University AP.

$f:R\to R$ is given by,

$\begin{array}{l}f\left(x\right)=4x+3\\ One-one:\\ Let,f\left(x\right)=f\left(y\right).\\ \Rightarrow 4x+3=4y+3\\ \Rightarrow 4x=4y\\ \Rightarrow x=y\end{array}$

$\therefore$ f is a one-one function.

Onto:

$\begin{array}{l}For,y\in R,let,y=4x+3.\\ \Rightarrow x=\frac{y-3}{4}\in R\end{array}$

Therefore, for any $y\in R$ , there exists $x=\frac{y-3}{4}\in R$ such that

$f\left(x\right)=f\left(\frac{y-3}{4}\right)=4\left(\frac{y-3}{4}\right)+3=y$

$\therefore$ f is onto.

Thus, f is one-one and onto and therefore, $f^{-1}$ exists.

Let us define $g:R\to R$ by $g\left(x\right)=\frac{y-3}{4}$

$\begin{array}{l}Now,\left(gof\right)\left(x\right)=g\left(f\left(x\right)\right)=g\left(4x+3\right)=\frac{\left(4x+3\right)-3}{4}=x\\ \left(fog\right)\left(y\right)=f\left(g\left(y\right)\right)=f\left(\frac{y-3}{4}\right)=4\left(\frac{y-3}{4}\right)+3=y-3+3=y\\ \therefore gof=fog=I_R\end{array}$

Hence, f is invertible and the inverse of f is given by

$f^{-1}=g\left(y\right)=\frac{y-3}{4}$

The LLM course at the Kirit P. Mehta School of Law is a one-year postgraduate degree course, divided into two semesters, and it is offered in full-time mode. Moreover, the institute offers six specialisations in the LLM course. The names of the specialisations are as follows: 

• Master of Law (LLM) Corporate Law
• Master of Law (LLM) Intellectual Property Law
• Master of Law (LLM) Constitutional and Administrative Law
• Master of Law (LLM) Financial Regulations
• Master of Law (LLM) Criminal Law
• Master of Law (LLM) Alternative Dispute Resolution

During the placement drive of the year 2024 at Gokul Global University, students were offered decent placement from various top companies. The highest salary package offered to the students stood at INR 18 LPA. The average placement package that students managed to fetch was INR 7 LPA. 

Yes, it can be a good choice to pursue a BA course from Easwari School of Liberal Arts, SRM University AP. The school offers a well-rounded liberal arts curriculum that focuses on developing critical thinking and other valuable skills, which can lead to diverse career opportunities. Additionally, the university has a strong placement record, with many students securing jobs at reputable companies. 

$f:\left[-1,1\right]\to R$ is given as $f\left(x\right)=\frac{x}{x+2}$

$\begin{array}{l}Let,f\left(x\right)=f\left(y\right).\\ \Rightarrow \frac{x}{x+2}=\frac{y}{y+2}\\ \Rightarrow xy+2x=xy+2y\\ \Rightarrow 2x=2y\\ \Rightarrow x=y\end{array}$

$\therefore$ f is a one-one function.

It is clear that $f:\left[-1,1\right]\to$ Range f is onto.

$\therefore$ $f:\left[-1,1\right]\to$ Range f is one-one onto and therefore, the inverse of the function:

$f:\left[-1,1\right]\to$ Range f exists.

Let g: Range $f\to \left[-1,1\right]$ be the inverse of f.

Let y be an arbitrary element of range f.

Since $f:\left[-1,1\right]\to$ Range f is onto, we have:

$\begin{array}{l}\Rightarrow y=\frac{x}{x+2}\\ \Rightarrow xy+2y=x\\ \Rightarrow x\left(1-y\right)=2y\\ \Rightarrow x=\frac{2y}{1-y},y\ne 1\\ g\left(y\right)=\frac{2y}{1-y},y\ne 1\\ Now,\left(gof\right)\left(x\right)=g\left(f\left(x\right)\right)=g\left(\frac{x}{x+2}\right)=\frac{2\left(\frac{x}{x+2}\right)}{1-\frac{x}{x+2}}=\frac{2x}{x+2-x}=2\frac{x}{2}=x\\ \left(fog\right)\left(y\right)=f\left(g\left(y\right)\right)=f\left(\frac{2y}{1-y}\right)=\frac{\frac{2y}{\left(1-y\right)}}{\left(\frac{2y}{1-y}\right)+2}=\frac{2y}{2y+2-2y}=\frac{2y}{2}=y\\ \therefore gof=I_{-1,1},and,fog-I_{Range,f}\\ \therefore f^{-1}=g\\ \therefore f^{-1}\left(y\right)=\frac{2y}{1-y},y\ne 1\end{array}$

The following is a list of a few top recruiters who were part of Easwari School of Liberal Arts, SRM University Andhra Pradesh placements 2024:

The steps of application at CII Institute of Hospitality- Hyatt Mumbai is conducted in online mode. Candidates can visit the college's official website to apply for desired programmes. Mentioned below the basic application details:

1. Visit CII Institute of Hospitality- Hyatt Mumbai's official website.
2. Fill the appeared registration form with details around Name, Past Academic details, etc.
3. Complete the form by paying the application fee.

Times Higher Education is known for providing performance data on universities for students and creates university rankings to evaluate university performance on a global level. The university rankings of MIT USA by Times Higher Education are given as follows:

As per the latest report, the average package offered during Easwari School of Liberal Arts, SRM University Andhra Pradesh placements in 2024 stood at INR 9.38 LPA. The same is are tabulated below: