Find the equations to the diagonals of the rectangle the equations of whose sides are `x=a ,x=a^(prime),y=b ` `a n d ` `y=b^(prime)`

Explanation

To find the equations of the diagonals of a rectangle whose sides are defined by the equations \( x = a \), \( x = a' \), \( y = b \), and \( y = b' \), we can follow these steps:

### Step 1: Identify the vertices of the rectangle
The rectangle is defined by the intersections of the lines given. The vertices (corners) of the rectangle can be found at the following points:
1. \( P(a, b) \)
2. \( Q(a', b) \)
3. \( R(a', b') \)
4. \( S(a, b') \)