Answer:
option 3 ⇒ 8x² + 4y
Step-by-step explanation:
As shown in the figure
C is the centroid of ΔDEF
We should know that the centroid divides each median in the ratio 2:1
So, CF = 2 CG ⇒ CG = 0.5 CF
But GF = CF + CG
∴ GF = CF + 0.5 CF = 1.5 CF = (3/2) CF
∴ CF = (2/3) GF
∵ GF = 12 x² + 6y
∴ CF = (2/3) * (12 x² + 6y) = 8x² + 4y
So, the correct answer is option 3
