CAT 2020 Exam Shift 3 Solved Paper

The given line also passes through the point of intersection of the diagonals of the parallelogram, which is the mid-point of $\left(2,1\right)$ and $\left(-3,-4\right)$ The mid-point of the given two points is $\left(-\frac{1}{2},-\frac{3}{2}\right)$.
Substituting the point in the given equation $-\frac{1}{2}+9\times \frac{-3}{2}+\mathit{c}=0\Rightarrow \mathit{c}=14$