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As per the latest report, the average package offered during Chetana's Institute of Management and Research placements in 2025 stood at INR 7.04 LPA. The same is are tabulated below:

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}LetABCbeanequilateraltrianglewithvertex\left(x_1,y_1\right).\\ AD\perp BCandlet\left(a,b\right)bethecoordinatesofD.\\ GiventhatthecentroidGliesattheorigini.e.,\left(0,0\right)\\ Since,thecentroidofatriangle,dividesthemedianintheratio1:2\\ So,0=\frac{1\times x_1+2\times a}{1+2}\Rightarrow x_1+2a=0\dots \left(i\right)\\ and0=\frac{1\times y_1+2\times b}{1+2}\Rightarrow y_1+2b=0\dots \left(ii\right)\\ EquationsofBCisgivenbyx+y-2=0\dots \left(iii\right)\\ PointD\left(a,b\right)liesonthelinex+y-2=0\\ So,a+b-2=0\dots \left(iv\right)\\ Slopeofeqn.\left(iii\right)is=-1\\ andtheSlopeofAG=\frac{y_1-0}{x_1-0}=\frac{y_1}{x_1}\\ Since,theyareperpendiculartoeachother\\ \therefore -1\times \frac{y_1}{x_1}=-1\Rightarrow y_1=x_1\\ Fromeqn.\left(i\right)and\left(ii\right)weget\\ x_1+2a=0\Rightarrow 2a=-x_1\\ y_1+2b=0\Rightarrow 2b=-y_1\\ Fromeqn.\left(iv\right)weget\\ a+b-2=0\\ \Rightarrow a+a-2=0\\ \Rightarrow 2a-2=0\Rightarrow a=1andb=1\left[?a=b\right]\\ \therefore x_1=-2\times 1=-2\\ and{y}_1=-2\times 1=-2\\ Hence,thecorrectoptionis\left(c\right).\end{array}$

The institute is known for providing decent placements to its graduating students.Check out the table below to know the key insights of theGokul Global University placements 2024:

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Givenequationsare\\ 3x+4y+5=0\dots \left(i\right)\\ 3x+4y-5=0\dots \left(ii\right)\\ and3x+4y+2=0\dots \left(iii\right)\\ Clearly,eqn.\left(i\right),\left(ii\right)and\left(iii\right)areparalleltoeachotherasthecoefficientsofxandyaresame.\\ betweenparallellines\left(i\right)and\left(iii\right)weget\\ =\left|\frac{5-2}{\sqrt[]{{\left(3\right)}^2+{\left(4\right)}^2}}\right|=\frac{3}{5}\left[?betweenthetwoparallellines=\frac{\left|c_1-c_2\right|}{\sqrt[]{a^2+b^2}}\right]\\ betweenparallellines\left(ii\right)and\left(iii\right)weget\\ =\left|\frac{-5-2}{\sqrt[]{{\left(3\right)}^2+{\left(4\right)}^2}}\right|=\frac{7}{5}\\ \therefore Ratiobetweenthe\frac{3}{5}:\frac{7}{5}=3:7\\ Hence,thecorrectoptionis\left(b\right).\end{array}$

RRB NTPC graduate level result was announced on September 19, 2025. RRB NTPC result for graduate posts was announced region-wise RRB NTPC Graduate result PDF was provided on this page once it is announced. RRB NTPC zone-wise graduate result display the roll numbers of qualified candidates shortlisted for CBT 2 exam.

All students who have passed their Class 12 board exams from a recognised board are eligible for enrolment into the BDes course offered by INSD Kolkata. Students can apply to be enrolled in INSD Kolkata by visiting the official website of the institute, filling out the registration form, and attaching all relevant documents.

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Anylineperpendicularto3x+y=3\\ x-3y=\lambda \left(\lambda =\right)\\ Ifitpassesthroughthe\left(2,2\right)then\\ 2-3\left(2\right)=\lambda \Rightarrow \lambda =-4\\ \therefore equationisx-3y=-4\\ \Rightarrow -3y=-x-4\\ \Rightarrow y=\frac{1}{3}x+\frac{4}{3}\left[?y=mx+c\right]\\ So,theyis\frac{4}{3}.\\ Hence,thecorrectoptionis\left(d\right).\end{array}$

ISB&M College of Commerce offers undergraduate courses across Computer Applcation and Management stream. The fee structure of the programme includes tutuion fee, caution fee, security deposit, and others. Below-mentioned is the UG courses fees at ISB&M College of Commerce: 

St Joseph's College of Engineering has an impressive placement record. The placement statistics for 2025 are given in the table below:

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:

St Joseph's College of Engineering has yet to announce its full 2025 placement report. Once out it will be updated on this page. Meanwhile students can refer to the table below that presents the statistics for 2025:

This is a Objective Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Givenequationsare\\ 4x+3y+10=0\dots \left(i\right)\\ 5x-12y+26=0\dots \left(ii\right)\\ and7x+24y-50=0\dots \left(iii\right)\\ Let\left(x_1,y_1\right)beanyfromeqn.\left(i\right),eqn.\left(ii\right)andeqn.\left(iii\right)\\ of\left(x_1,y_1\right)fromeqn.\left(i\right)\\ =\left|\frac{4x_1+3y_1+10}{\sqrt[]{16+9}}\right|=\left|\frac{4x_1+3y_1+10}{5}\right|\\ of\left(x_1,y_1\right)fromeqn.\left(ii\right)\\ =\left|\frac{5x_1-12y_1+26}{\sqrt[]{25+144}}\right|=\left|\frac{5x_1-12y_1+26}{13}\right|\\ of\left(x_1,y_1\right)fromeqn.\left(ii\right)\\ =\left|\frac{7x_1+24y_1-50}{\sqrt[]{49+576}}\right|=\left|\frac{7x_1+24y_1-50}{25}\right|\\ Ifthe\left(x_1,y_1\right)isfromthegivenlines,then\\ \left|\frac{4x_1+3y_1+10}{5}\right|=\left|\frac{5x_1-12y_1+26}{13}\right|=\left|\frac{7x_1+24y_1-50}{25}\right|\\ Weseethatputting{x}_1=0and{y}_1=0,theaboverelationissatisfiedi.e.,\\ \frac{10}{5}=\frac{26}{13}=\frac{50}{25}=2\\ Hence,thecorrectoptionis\left(c\right).\end{array}$