Mathematics · Calculus of Variations
a, b, c ∈ ℝ के लिए, निम्नलिखित चरम समस्या (variational problem) पर विचार कीजिए: निम्नतम कीजिए: J[y] = ∫02 [a(y')2 + 2byy' + cy2] dx प्रतिबंध: y(0) = 10, y(1) = 100. तो निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1यदि (a, b, c) = (1, -2, 5) है, तो प्रत्येक स्वीकार्य चरम (extremal) एक निम्नतमकारी (minimizer) है
- 2यदि (a, b, c) = (2, -1, 1) है, तो प्रत्येक स्वीकार्य चरम (extremal) एक निम्नतमकारी (minimizer) है
- 3यदि (a, b, c) = (1, 0, 2) है, तो प्रत्येक स्वीकार्य चरम (extremal) एक निम्नतमकारी (minimizer) है✓
- 4यदि (a, b, c) = (-2, 1, -2) है, तो प्रत्येक स्वीकार्य चरम (extremal) एक निम्नतमकारी (minimizer) है
सही उत्तर देखें
यदि (a, b, c) = (1, 0, 2) है, तो प्रत्येक स्वीकार्य चरम (extremal) एक निम्नतमकारी (minimizer) है
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 Calculus of Variations MCQs →Want more practice questions on Calculus of Variations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Calculus of Variations