Equations of diagonals of the square formed by the lines `x=0,y=0,x=1` and `y=1` are

Options

A. `y=x,x+y=2`
B. `2y=x,y+x=1/3`
C. `y=x,y+x=1`
D. `y=2x,y+2x=1`

Answer

To find the equations of the diagonals of the square formed by the lines \(x=0\), \(y=0\), \(x=1\), and \(y=1\), we can follow these steps:

### Step 1: Identify the vertices of the square
The lines \(x=0\), \(y=0\), \(x=1\), and \(y=1\) form a square with the following vertices:
- A (0, 0)
- B (1, 0)
- C (1, 1)
- D (0, 1)