IGNOU MTE 3 2026 - a) के लिए आइलर प्रमेय सत्यापित कीजिए।

Question

a) $f(x, y) = ax^2 + 2hxy + by^2$ के लिए आइलर प्रमेय सत्यापित कीजिए।

09 Jan 2026

Answer :

Word Count : 211

आइलर प्रमेय कहता है कि यदि कोई फ़ंक्शन (f(x, y)) हो जो डिग्री (n) का हो, तो [ x \frac{\partial f}{\partial x} + y \frac{\partial f}{\partial y} = n f(x, y) ] यहाँ दिया गया फ़ंक्शन है [ f(x, y) = a x^2 + 2 h xy + b y^2 ] यह द्विघात

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