5. Determine the coordinates of A

The \(y\) - coordinate of a point \(A\) is 4 times its \(x\) - coordinate. If point \(A\) is equidistant from \(P(3,5)\) and \(Q(4,4)\), then the coordinates of \(A\) are $\left(i,i\right)$.

 

(Note: Write in decimal places if necessary. Maximum \(3\) decimal places.)