Physics · Topology
Which of the following mappings d: ℝ × ℝ → ℝ defines a valid metric on ℝ?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1d(x,y) = |x2 - y2|, where x,y ∈ ℝ
- 2d(x,y) = |sin(x2 - y2)|, where x,y ∈ ℝ
- 3d(x,y) = |x3 - y3|, where x,y ∈ ℝ✓
- 4d(x,y) = |sin(x3 - y3)|, where x,y ∈ ℝ
Correct answer
d(x,y) = |x3 - y3|, where x,y ∈ 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 Physics?
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 Physics · Topology