Question

A grid PQRS is distorted such that its edges get stretched or compressed UNIFORMLY to form P’Q’R’S’ as shown on the left. Identify the correct distorted grid from the options.

• A. Fig A
• B. Fig B
• C. Fig C
• D. Fig D

Hint:

Linear stretching of boundaries always preserves the straightness of grid lines. If the problem states "uniform stretch," you can immediately eliminate any option that contains curved lines.

Answer 1

The Correct Option is A

Step 1: Note the distortion type.
A uniform stretch keeps grid lines straight while spacing changes proportionally.
Step 2: Check internal lines.
The cross-ratio of inner lines must be preserved; only one option keeps the proportional spacing.
\[ \boxed{\text{Option 1 (Fig A)}} \]