TS EAMCET 4-Aug-2021 Shift 2 Question Paper

Let vertices of △ABC are
A(x1,y1,z1),B(x2,y2,z2) and C(x3,y3,z3) ∵D,E and F are mid-points of AB,BC and AC respectively.
(‌

x1+x2

2

,‌

y1+y2

2

,‌

z1+z2

2

)=(1,2,−3)
coordinate of D.
(‌

x2+x3

2

,‌

y2+y3

2

,‌

z2+z3

2

)=(3,0,1)
coordinate of E
(‌

x1+x3

2

,‌

y1+y3

2

,‌

z1+z3

2

)=(−1,1,−4)
coordinate of F
Adding all three,
Also, (x2+x3,y2+y3,z2+z3)=(6,0,2)
∴A(x1,y1,z1)=(−3,3,−8)
Centroid of △ADF where A(−3,3,−8),D(1,2,−3) and F(−1,1,−4) is