Mathematics · Multivariable Calculus
Let a, b be distinct positive real numbers. Consider the function f : &mathbb;R2 → &mathbb;R given by f(x, y) = (ax+by)2ax2+by2 for (x, y) ≠ (0, 0) and f(0, 0) = 0. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1lim(x,y)→(0,0) f(x, y) does not exist.✓
- 2The partial derivatives of f at (0, 0) do not exist.
- 3f is continuous at (0, 0).
- 4f is differentiable at (0, 0).
Correct answer
lim(x,y)→(0,0) f(x, y) does not exist.
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 Multivariable Calculus MCQs →Want more practice questions on Multivariable Calculus?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Multivariable Calculus