Mathematics · Topology
Consider ℝ with the usual topology and S = {a + b√2 | a, b ∈ &Double_struck;Q} ⊂ ℝ with the subspace topology. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1S is connected.
- 2S \ &Double_struck;Q is discrete with the subspace topology on S.
- 3S \ &Double_struck;Q is not dense in ℝ.
- 4S is dense in ℝ.✓
Correct answer
S is dense in ℝ.
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Topology MCQs →Want more practice questions on Topology?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Topology