TS EAMCET 9-Sep-2020 Shift 2 Solved Paper

Coordinates of verticies of tetrahedron are in AP.
Let and D(x4,y4,z4)
Now, each coordinates are in AP
∴‌‌y1=x1+d,z1=x1+2d
y2=x2+d1z2=x2+2d
y3=x3+d,z3=x3+2d
∴ centroid of tetrahedron
‌

z1+z2+z3+z4

4

∴‌‌2=‌

x1+x2+x3+x4

4

,
3=‌

x1+x2+x3+x4+4d

4

and k=‌

x1+x2+x3+x4+8d

4

∴‌‌x1+x2+x3+x4=8,d=1
⇒‌‌k=‌

8+8

4

=4
∴ Distance of G from the origion =√22+32+42=√29