Answer: The correct option is (B) 108.
Step-by-step explanation: We are given to find the value of the following direct squared variation if x = 3 :
\(y=12x^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
For finding the value of y at x = 3, we need to substitute x = 3 in the given direct squared variation (i).
So, from equation (i), we get
\(y\\\\=12x^2\\\\=12\times 3^2\\\\=12\times9\\\\=108.\)
Thus, the required value is 108.
Option (B) is CORRECT.
