Fid the condition if lines `x=a y+b ,z=c y+da n dx=a^(prime)y+b^(prime), z=c^(prime)y+d '` are perpendicular.

Explanation

To find the condition under which the lines given by the equations \( x = ay + b, z = cy + d \) and \( x = a'y + b', z = c'y + d' \) are perpendicular, we can follow these steps:

### Step 1: Write the equations of the lines in parametric form
The first line can be expressed as:
\[ x = ay + b \quad \text{and} \quad z = cy + d \]
From these equations, we can express \( y \) in terms of \( x \) and \( z \):
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