Ask & Answer: India's Largest Education Community

Yes, New Delhi Institute of Management is good for PGDM as it is mainly concerned with the Management stream. It has been declared 'Best Industry-Linked B-School of India' by the AICTE, the Ministry of HRD (Government of India), and the CII. The college offers a PGDM programme across several specialisations, including Marketing,  Finance, etc.

IIMT Studies Gurgaon conducts admissions to its courses on the basis of merit obtained in the previous qualifying examination by students. Students can visit the official website and learn more about the course-specific eligibility details. Further, candidates applying for the various IIMT Studies Gurgaon courses must have attained at least 2 years of work experience.

IIMT Studies Gurgaon placements are a vibrant season at the institute campus. The top recruiters at IIMT Studies Gurgaon include prominent names such as Amul, Reliance, STPL. Further, IIMT Studies, Gurgaon has tie-ups with various corporate brands such as Spring Air, Zydus Cadila, Huber Group, Amul, Aditya Birla Group, among others.

IIMT Studies Gurgaon accepts admissions based on clearing the previous qualifying examination. Candidates must clear the examination prescribed for the specific course they are applying for. For instance, students seeking IIMT Studies Gurgaon Professional-Graduate Program admissions must clear their Higher Secondary/10+2 examination and are also required to have at least 2 years of experience.

$4x^3-3x{y}^2+6x^2-5xy-8y^2+9x+14=0$ differentiating both sides we get

$12x^2-3y^2-6xyy\text{'}+12x-5y-5xy=16yy\text{'}+9=0$

At the point (2, 3)

48 – 27 + 36y’ – 24 – 15 + 10y’ – 48y’ + 9 = 0

$\therefore Area=\frac{1}{2}\times Base\times Height$

$A=\frac{1}{2}\times \left(\frac{-4}{3}+\frac{31}{2}\right)\left(3\right)=\frac{1}{2}\left(\frac{85}{0}\right).3=\frac{85}{4}=8A=170$

During College of Engineering, Pune placements 2025 over 563 offers were made to students. The table below states the same:

The highest offered during College of Engineering, Pune placements was INR 87 LPA. The company that provided the highest package was Transguard Group Dubai. Followed by D E Shaw who provided a package of INR 52 LPA

Students can visit the official website of IIMT Studies Gurgaon, and view the course and specialization-wise fee-structure for the entire course list. For instance, the fees for Pre-Graduate Program in Maintenance Engineeing is INR 1,26,700. For Professional-Graduate programme in Safety Engineering, the fee is INR 1,35,700. Additionally, the fee for the Advanced Graduate Program in Safety Engineering is INR 1,42,700.

The circle $x^2+y^2+6x+8y+16=0$ has centre (3, 4) and radius 3 units

The circle

$x^2+y^2+2\left(3-\sqrt[]{3}\right)x+2\left(4-\sqrt[]{6}\right)y=k+6\sqrt[]{3}+8\sqrt[]{6},k>0$ has centre $\left(\sqrt[]{3}-3,\sqrt[]{6}-4\right)$ and radius $\sqrt[]{k+34}$

$?$ These two circles touch internally hence

$\sqrt[]{3+6}=\left|\sqrt[]{k+34}-3\right|$

here, k = 2 is only possible $\left(?k>0\right)$

Equation of common tangent to two circle is

$2\sqrt[]{3}x+2\sqrt[]{6}y+16+6\sqrt[]{3}+8\sqrt[]{6}+k=0$

$?k=2$ then equation is

$x+\sqrt[]{2}y+3+4\sqrt[]{2}+3\sqrt[]{3}=0$ ….(i)

$?\left(\alpha ,\beta \right)$ are foot of perpendicular from (3, 4) to line (i) then

$\frac{\alpha +3}{1}=\frac{\beta +4}{\sqrt[]{2}}=\frac{-3-4\sqrt[]{2}+3+4\sqrt[]{2}+3+\sqrt[]{3}}{1+2}$

$\therefore {\left(\alpha +\sqrt[]{3}\right)}^2+{\left(\beta +\sqrt[]{6}\right)}^2=25$

College of Engineering, Pune has released its BTech placement report for 2025. The highest package recorded in 2025 stood at INR 52.57 LPA. Check the table below to know more about the 2025 BTech placement statistics:

IIMT Studies Gurgaon admissions are conducted on the basis of merit. Students can choose to obtain admissions through merit for various courses such as Pre-Graduate, Professional-Graduate, and Advanced/Post-Graduate programs. Students must have cleared their previous qualifying examination, and must have at least 2 years of work experience. Students can visit the official website of the institute to begin their application process.

During College of Engineering, Pune BTech placements a total of 543 students were placed. Check out the table below to know more:

 $?a_n={\displaystyle {\int }_{-1}^0\left(1+\frac{x}{2}+\frac{x^2}{2}+....+\frac{x^{n-1}}{n}\right)dx}$

$={\left[x+\frac{x^2}{2^2}+\frac{x^3}{3^2}+.....+\frac{x^n}{n^2}\right]}_{-1}^n$

$a_n=\frac{n+1}{1^2}+\frac{n^2-1}{2^2}=\frac{n^3+1}{3^2}+\frac{n^4-1}{4^2}+.....+\frac{n^n+{\left(-1\right)}^{n+1}}{n^2}$

Here a₁ = 2, $a_2=\frac{2+1}{1}+\frac{2^2-1}{2}=3+\frac{3}{2}=\frac{9}{2}$

$a_4=5+\frac{15}{4}+\frac{65}{9}+\frac{255}{16}>31$

$\therefore$ The required set is {2, 3}

$?a_n\in \left(2,30\right)$

$\therefore$ Sum of elements = 5.

College of Engineering, Pune has released branch wise placement statistics. Refer to the table below to know more about the placement highlights recorded in 2025:

The highest package recorded during College of Engineering, Pune BTech placements 2025 was INR 52.57 LPA. Refer to the table below to know more about the branch wise the highest package provided to BTEch students:

IIMT Studies Gurgaon provides various 10th Diploma, UG Program, and PG Diploma programs to students. The Professional-Graduate Program at IIMT Studies, Gurgaon provides students with Engineering training in different specializations. The Professional-Graduate programme at IIMT Studies is accepted as equivalent to the mainstream BTech course. Students must apply on the basis of their HSC/10+2 scoring as well as 2 years' work experience.

$f\left(x\right)+{\displaystyle {\int }_0^x\left(x-t\right)f\text{'}\left(t\right)dt=\left(e^{2x}+e^{-2x}\right)cos2x+\frac{2x}{a}.......(i)}$

Here f (0) = 2 ………. (ii)

On differentiating equation (i) w.r.t. x we get :

$f\text{'}\left(x\right)+f{\displaystyle {\int }_0^{x}f\text{'}\left(t\right)dt+xf\text{'}\left(x\right)-xf\text{'}\left(x\right)}$

$4=\frac{2}{a}\Rightarrow a=\frac{1}{2}$

$\therefore {\left(2a+1\right)}^5.a^2=2^5.\frac{1}{2^2}=2^3=8$