AP EAMCET Engineering 2013 Solved Paper

Let A≡(x1,y1,z1),B≡(x2,y2,z2) andC≡(x3,y3,z3)Since, F is the mid-point of AB.
∴

x1+x2=0

y1+y2=2

z1+z2=0

} ......(i)
Since, D is the mid-point of BC.
∴

x2+x3=4

y2+y3=2

z2+z3=0

} .....(ii)
and E is the mid-point of AC
∴

x3+x1=4

y3+y1=0

z3+z1=0

} .......(iii)
So,

x1+x2+x3=4

y1+y2+y3=2

z1+z2+z3=0

} ......(iv)
∴ x3=4,y3=0,z3=0
x1=0,y1=0,z1=0
and x2=0,y2=2,z2=0
∴ Centroid of ΔABC =(

x1+x2+x3

3

,

y1+y2+y3

3

,

z1+z2+z3

3

)
=(

4

3

,

2

3

,0)