CGPET 2016 Solved Paper

Given, x+y=1....(i)
2x+3y=6....(ii)
and 4x−y=−4....(iii)
On solving Eqs. (i) and (ii), we get
x=−3‌and‌y=4
Now, solving Eqs. (ii) and (iii), we get
x=−

3

7

‌and‌y=

16

7

and solving Eqs. (i) and (iii), we get
x=−

3

5

‌and‌y=

8

5

∴ Centroid of ∆ABC
=[

x1+x2+x3

3

,

y1+y2+y3

3

]
=[

(−3)+(− 3 5 )+(− 3 7 )

3

,

4+ 8 5 + 16 7

3

]
=[−

141

105

,

276

105

]≣(−x, y)
Hence, the centroid lies in II quadrant.