A deep, long and wide trough or basin with very steep concave high walls at its head as well as in sides is known as:
Explanation
Option A (Cirque) is correct. A cirque is defined as a deep, long and wide trough or basin with very steep concave high walls at its head as well as in sides. This distinguishes it from a glacial valley, which is described in the context as 'trough-like and U-shaped with broad floors and relatively smooth, and steep sides.' Lateral Moraine and Esker are depositional landforms, not erosional troughs or basins with steep concave walls.
Solution Steps
Step 1: Analyze the key characteristics in the question - 'deep, long and wide trough or basin' with 'very steep concave high walls at its head as well as in sides.'
Step 2: Compare with the context - Glacial valleys are described as 'trough-like and U-shaped with broad floors and relatively smooth, and steep sides' which differs from the concave walls description.
Step 3: Eliminate Lateral Moraine and Esker as they are depositional features, not erosional basins.
Step 4: Conclude that the description matches a Cirque, which is an erosional landform with steep concave walls at its head.