Find a point at which origin is shifted such that transformed equation of `2x^(2)+y^(2)-12xy+16=0` has no term containing `x` and constant term.

Explanation

To find the point at which the origin is shifted such that the transformed equation of \(2x^2 + y^2 - 12xy + 16 = 0\) has no term containing \(x\) and no constant term, we can follow these steps:

### Step 1: Shift the Origin
Let the new coordinates be \(X\) and \(Y\) such that:
\[ x = X + h \quad \text{and} \quad y = Y + k \]
where \((h, k)\) is the point to which the origin is shifted.
...