Area of triangle formed by straight lines `x - y = 0, x + y = 0 and 2 x = 1 `

Options

A. `25`
B. `(25)/(2)`
C. `(25)/(4)`
D. None of these

Answer

To find the area of the triangle formed by the lines \(x - y = 0\), \(x + y = 0\), and \(2x = 1\), we will follow these steps:

### Step 1: Identify the equations of the lines
The equations of the lines are:
1. \(x - y = 0\) (or \(y = x\))
2. \(x + y = 0\) (or \(y = -x\))
3. \(2x = 1\) (or \(x = \frac{1}{2}\))