Mathematics · Real Analysis
Let f : ℝ → ℝ be a continuous function and suppose f(x) = 0 for all rational numbers x. Then:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1No conclusion can be drawn
- 2f must be constant but not necessarily zero
- 3f may not be identically zero
- 4f ≡ 0 (f is identically zero for all real numbers)✓
Correct answer
f ≡ 0 (f is identically zero for all real numbers)
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 Real Analysis MCQs →Want more practice questions on Real Analysis?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Real Analysis