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This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Equationoflinethroughthe\left(2,-3\right)and\left(4,-5\right)is\\ y+3=\frac{-5+3}{4-2}\left(x-2\right)\\ \Rightarrow y+3=\frac{-2}{2}\left(x-2\right)\\ \Rightarrow y+3=-\left(x-2\right)\\ \Rightarrow y+3=-x+2\\ \Rightarrow x+y=-1\\ \Rightarrow \frac{x}{-1}+\frac{y}{-1}=1\left(Interceptform\right)\\ \therefore a=-1,b=-1\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

International Institute of Hotel Management, Siliguri offers a three-year BSc programme under the guidance of experts. The institute offers BSc specialisations in International Hospitality Management, Hospital Administration, Hospital Studies, and others. The institute also offers BSc Honors in International Hospitality Management. 

The institute provides good placement opportunities to its graduating students. Check out the table below to know the key highlights of theGokul Global University placement during 2024:

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Firstequationoflineontheaxes\\ a,-bis\frac{x}{a}-\frac{y}{b}=1\Rightarrow bx-ay=ab\dots \left(i\right)\\ equationoflineontheaxes\\ b,-ais\frac{x}{b}-\frac{y}{a}=1\Rightarrow ax-by=ab\dots \left(ii\right)\\ Slopeofeqn.\left(i\right)m_1=\frac{b}{a}\\ Slopeofeqn.\left(ii\right)m_2=\frac{a}{b}\\ \therefore tan\theta =\left|\frac{m_1-m_2}{1+m_1{m}_2}\right|=\frac{\frac{b}{a}-\frac{a}{b}}{1+\frac{b}{a}.\frac{a}{b}}=\frac{b^2-a^2}{2ab}\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

The institute has been providing successful placements over the years. Check out the table below to know the key highlights of the Gokul Global University placements during 2024:

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Equationofanylineperpendiculartothegivenline\\ x+y+1=0isx-y+k=0\dots \left(i\right)\\ Ifeqn.\left(i\right)isthroughthe\left(1,2\right)then\\ 1-2+k=0\Rightarrow k=1\\ Puttingthevalueofkineqn.\left(i\right),wehave\\ x-y+1=0\Rightarrow y-x-1=0\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

The institute provides good placements to its graduating students. Check out the table below to know the key highlights of the Gokul Global University placements during 2024:

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Equationofline\text{'}l\text{'}isgivenby\\ y-y_1=m\left(x-x_1\right)\\ listhroughtheP\left(3,2\right).\\ \therefore y-2=m\left(x-3\right)\\ \Rightarrow y=mx+2-3m\dots \left(i\right)\\ itisgiventhatlinesy=xand\text{'}l\text{'}areperpendiculartoeachother,\\ \therefore m\times 1=-1\left[?m_1\times m_2=-1\right]\\ m=-1\\ Putm=-1ineqn.\left(i\right),weget\\ y=-x+2-3\left(-1\right)\\ y=-x+5\\ x+y=5\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

The institute is known for its excellent placement record. Check out the tabulated data given below to know more about Gokul Global University placements 2024:

For enrollment into Jyothy Institute of Commerce and Management for a BCom programme, candidates must meet the eligibility criteria described by the college. The institute has not released any percentage requirement in the last qualifying exam for the admission process. The course selection is merit-based and students must have passed Class 12/ 2nd PUC.

Yes, UMBC is a research university. It was designated a Doctoral University with Very High Research Activity – also known as Carnegie R1. This designation was recently re-confirmed in the most recent 2024/25 R1 Classification, placing this university among the top 187 research universities in the nation – representing the top 5% of the U.S. institutions. UMBC has an annual research portfolio of about USD 144 million. Additionally, as per NSF, UMBC ranks among the country's Top 100 public universities in Federal research support, #15 in NASA funding and #30 in Federal funding for the Social Sciences.   

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}formofalineis\\ \frac{x}{a}+\frac{y}{b}=1\\ \Rightarrow \frac{x}{a}+\frac{y}{a}=1\left[?a=b\right]\\ \Rightarrow x+y=a\\ \Rightarrow y=-x+a\\ \therefore Slopeis-1\\ Hence,thecorrectoptionis\left(a\right).\end{array}$

No, direct admission at International Institute of Hotel Management, Siliguri is not possible. Admission to IIHM Siliguri is based on the IIHM eCHAT (Electronic Common Hotel Admission Test) score. Candidates must also meet the program-specific eligibility criteria. IIHM Siliguri course admission begins with the online/ offline application. Interested candidates can apply directly through the official website.

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}thelinescutoff-3onyaxisthenthelineisthroughthe\left(0,-3\right).\\ Giventhat:tan\theta =\frac{3}{5}\Rightarrow Slopeofthelinem=\frac{3}{5}\\ So,theequationofthelineis\\ y-y_1=m\left(x-x_1\right)\\ \Rightarrow y+3=\frac{3}{5}\left(x-0\right)\\ \Rightarrow 5y+15=3x\\ \Rightarrow 3x-5y-15=0\Rightarrow 5y-3x+15=0\\ Hence,thecorrectoptionis\left(a\right).\end{array}$

The annual on-campus housing rate at UMBC range between USD 6,500 – USD 9,670 (Around INR 5.54 L – INR 8.2 L). The residential prices vary as per the room type and the annual prices are listed below:

According to Shiksha's rating, UMBC has been rated at 3.9. A few of the reviews of Indian students at UMBC are:

• There are career-focused programme with good opportunities
• Also, there are many Indian restaurants and grocery stores nearby UMBC that offers authentic food
• There are many cultural events and diverse range of clubs and organizations at UMBC. Open mic nights and movie screenings are held at the university's campus
• The faculty is quite good

International Institute of Hotel Management, Siliguri has top-notch infrastructure, which is equipped with all the necessary amenities. The institute includes labs, a library, a medical facility, digital classrooms, a cafeteria, an auditorium, a conference hall, and others. The institute has a spectacular location and is located as a gateway to the Himalayas. It is well-connected to popular destinations like Darjeeling, Sikkim, and Bhutan.

The Jyothy Institute of Commerce and Management offers the BCom course in a regualr mode of education for three years. The BCom course at JICM is affiliated with Bangalore University, Jnana Bharathi Campus. The Jyothy Institute of Commerce and Management BCom fee are INR 2.1 lakh. The information about fees is taken from official sources and could be subject to revision.