if z1,z2,z3 are affixes of the vertices A,B,C respect. of a triangle ABC having centroid at G such that z=0 is the mid point of AG then....
(1)z1+z2+z3=0
(2)z1+4z2+z3=0
(3)z1+z2+4z3=0
(4)4z1+z2+z3=0

Question

if z1,z2,z3 are affixes of the vertices A,B,C respect. of a triangle ABC having centroid at G such that z=0 is the mid point of AG then.... (1)z1+z2+z3=0 (2)z1+4z2+z3=0 (3)z1+z2+4z3=0 (4)4z1+z2+z3=0

Badiuddin askIITians.ismu Expert · Answer

Dear mann

Solution:

centroid of triangle G = (z1 + z2 +z3 )/3

given [z1 + (z1 + z2 +z3 )/3]/2 =0

so 4z1 + z2 +z3 =0

so 4th option is correct

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if z1,z2,z3 are affixes of the vertices A,B,C respect. of a triangle ABC having centroid at G such that z=0 is the mid point of AG then.... (1)z1+z2+z3=0 (2)z1+4z2+z3=0 (3)z1+z2+4z3=0 (4)4z1+z2+z3=0

if z1,z2,z3 are affixes of the vertices A,B,C respect. of a triangle ABC having centroid at G such that z=0 is the mid point of AG then....
(1)z1+z2+z3=0
(2)z1+4z2+z3=0
(3)z1+z2+4z3=0
(4)4z1+z2+z3=0

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if z1,z2,z3 are affixes of the vertices A,B,C respect. of a triangle ABC having centroid at G such that z=0 is the mid point of AG then.... (1)z1+z2+z3=0 (2)z1+4z2+z3=0 (3)z1+z2+4z3=0 (4)4z1+z2+z3=0

if z1,z2,z3 are affixes of the vertices A,B,C respect. of a triangle ABC having centroid at G such that z=0 is the mid point of AG then.... (1)z1+z2+z3=0 (2)z1+4z2+z3=0 (3)z1+z2+4z3=0 (4)4z1+z2+z3=0

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if z1,z2,z3 are affixes of the vertices A,B,C respect. of a triangle ABC having centroid at G such that z=0 is the mid point of AG then....
(1)z1+z2+z3=0
(2)z1+4z2+z3=0
(3)z1+z2+4z3=0
(4)4z1+z2+z3=0