UP TGT Mathematics Real Analysis Test Series - Part 2
Which of the following metric spaces is NOT complete?
Type: MCQ • Marks: 1
Which of the following metric spaces is NOT complete?
Options
A. The set of rational numbers Q with usual metric
B. The complex plane C
C. The real line R with usual metric
D. R^n with Euclidean metric
Explanation
Correct Answer: Option 1 (The set of rational numbers Q with usual metric). A metric space satisfies non-negativity, symmetry, identity of indiscernibles, and the triangle inequality d(x, z) <= d(x, y) + d(y, z).
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