If the equations of two diameters of a circles are `2x+y=6\ a n d\ 3x+2y=4` and the radius is 10, find the equation of the circle.

Explanation

To find the equation of the circle given the equations of two diameters and the radius, we can follow these steps:

### Step 1: Identify the equations of the diameters
The equations of the two diameters are:
1. \( 2x + y = 6 \) (Equation 1)
2. \( 3x + 2y = 4 \) (Equation 2)

### Step 2: Solve the equations to find the center of the circle
...