If origin is shifted to the point `(-1,2)` then what will be the transformed equation of the curve `2x^(2)+y^(2)-3x+4y-1=0` in the new axes ?

Explanation

To find the transformed equation of the curve \(2x^{2} + y^{2} - 3x + 4y - 1 = 0\) when the origin is shifted to the point \((-1, 2)\), we will follow these steps:

### Step 1: Define the new coordinates
When the origin is shifted to the point \((-1, 2)\), we will use the following transformations for the coordinates:
- Let \(X = x + 1\) (where \(x\) is the old x-coordinate)
- Let \(Y = y - 2\) (where \(y\) is the old y-coordinate)

### Step 2: Substitute the new coordinates into the original equation
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