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For BSc students at Nehru Gram Bharati University Kotwa, University Freeships are merit-cum-means based. Students must score 75% in Class 12, belong to a rural area, and hold an Antyodaya Card to receive a 100% tuition fee waiver. Children of regular university staff may qualify for a 50% waiver. Freeships cover 2% of total seats in general courses.

Nehru Gram Bharati University Kotwa offers several financial aid options for BSc students, including UP and NSP scholarships, UGC fellowships, and University Freeships. These are awarded based on merit, economic background, rural status, and employee dependents. Eligible BSc applicants should visit the NGBU website for full scholarship criteria and timely updates.

Candidates are admitted to G.S. College of Commerce based on their entrance scores or their merit, which is determined by their scores in Class 12 or its equivalent. There are typically no direct admissions and a merit list is created after the admission rounds have been concluded for G.S. College of Commerce courses. 

Vidyavardhini College of Engineering and Technology Vasai is a tier 2 college offering courses such as BTech, MBA, and M.Tech in various specialisations. Accredited by NAAC with a grade 'B+' and NBA, Vidyavardhini College of Engineering and Technology Vasai Road offers placement assistance and scholarships for the eligible candidates. The Institute is affiliated with University of Mumbai and is approved by AICTE.

It's generally advisable to start solving sample papers for Class 12 board exams about 2-3 months before the exams. If your exams are typically held in February or March, you might want to start practicing with sample papers around December or January. This approach allows you to familiarize yourself with the exam format, manage your time effectively, and identify areas where you need more practice.

Additionally, make sure to review your syllabus and focus on important topics while solving these papers. Good luck!

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

MGSU Bikaner is a State University and is accredited by National Assessment and Accreditation Council (NAAC). NAAC is an autonomous body set up by the University Grants Commission (UGC) of India to evaluate and accredit institutions across the country. The accreditation process assesses various factors, such as infrastructure, teaching and learning methods, research output and overall quality. Additionally, MGSU Bikaner is both UGC, and BCI approved.

The BSc programme at Nehru Gram Bharati University Kotwa has a total tuition fee of INR 48,000, making it a cost-effective option. In comparison, Sadanlal Sanwaldas Khanna Girls' Degree College charges between INR 35,430–54,000, while United University's fees range much higher from INR 1.2 Lacs to 5.5 Lakh.

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Wehavef\left(x\right)=\frac{2x^2-1}{x^4}\\ \Rightarrow f^{\text{'}}\left(x\right)=\frac{x^4\left(4x\right)-\left(2x^2-1\right).4x^3}{x^8}\\ \Rightarrow f^{\text{'}}\left(x\right)=\frac{4x^5-\left(2x^2-1\right).4x^3}{x^8}=\frac{4x^3\left[x^2-2x^2+1\right]}{x^8}=\frac{4\left[-x^2+1\right]}{x^5}\\ Fordecreasingthefunction{f}^{\text{'}}\left(x\right)<0\\ \therefore \frac{4\left(-x^2+1\right)}{x^5}<0\Rightarrow -x^2+1<0\Rightarrow x^2>1\\ \therefore x>\pm 1\Rightarrow x\in \left(1,\infty \right)\\ Hence,therequiredintervalis\left(1,\infty \right).\end{array}$

If you need any idea about the type of questions that can come in the exam, you must go through the Maharashtra 12th sample papers and Maharashtra HSC previous year question papers. In addition, you can also understand the most important questions and those that get repeated. Hence, students are advised to practice the previous years' Maharashtra 12th question papers and sample papers for better preparation. 

MGSU Bikaner is a state university with experienced faculty, state-of-the-art infrastructure, and great management. Admission to MGSU Bikaner University depends on the course and qualification of the candidate. In order to secure admission to the university, the candidates must check the eligibility criteria for the desired course and apply accordingly on the official website of MGSU Bikaner (mgsubikaner.ac.in).

Nehru Arts and Science College admission 2025 is open. The institute offers admission based on merit. Aspiring candidates must qualify for the eligibility criteria set by the college for the desired course. NASC Coimbatore course admission through the online application. Interested candidates appear online for admission through the official website. 

This is a Objective Type Questions as classified in NCERT Exemplar

Sol.

$\begin{array}{l}Wehavef\left(x\right)=sinx-ax+b\Rightarrow f^{\text{'}}\left(x\right)=cosx-a\\ Forincreasingthefunction{f}^{\text{'}}\left(x\right)>0\\ \therefore cosx-a>0\\ Sincecosx\in \left[-1,1\right]\\ \therefore a<-1\Rightarrow a\in \left(-\infty ,-1\right)\\ Hence,thevalueofa\in \left(-\infty ,-1\right).\end{array}$

MGSU Bikaner offers a variety of courses at undergraduate, postgraduate and PhD levels across streams such as humanities, commerce, science, law, management, and others. MGSU Bikaner also offers various Diploma courses at both UG & PG levels. Some of the famous/popular programmes at MGSU Bikaner include, BA, MA, MSc, BCA, LLB, B.Ed., BSc, among others. Students can visit the official website of MGSU Bikaner to know more about the desired course.

This is a Objective Type Questions as classified in NCERT Exemplar

Sol.

$\begin{array}{l}Wehavey=tanx.So,\frac{dy}{dx}=se{c}^{2}x\\ \therefore Slopeofthenormal=\frac{-1}{se{c}^{2}x}=-co{s}^{2}x\\ atthepoint\left(0,0\right)theslope=-co{s}^2\left(0\right)=-1\\ So,theequationofnormalat\left(0,0\right)isy-0=-1\left(x-0\right)\\ \Rightarrow y=-x\Rightarrow y+x=0\\ Hence,therequiredequationisy+x=0.\end{array}$

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