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The set of points (x,y) such that: a - δ ≤ x ≤ a + δ, b − δ ≤ y ≤ b + δ determines?
  1. A triangle
  2. A circle
  3. A square
  4. None of these
Explanation

The given inequalities define a region in the Cartesian plane:

a - δ ≤ x ≤ a + δ (horizontal bounds)

b - δ ≤ y ≤ b + δ (vertical bounds)

This region forms a square with:

Center at (a, b)

Side length of 2δ

The answer is A square.

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