Question
ग्रीन प्रमेय का कथनदीजिए और इसकी सहायता से
मान निकालिए जहाँ सी. दीर्घवृत
है।
Answer :
Word Count : 306
ग्रीन प्रमेय (Green's Theorem) के अनुसार, यदि \( C \) एक बंद वक्र है और \( D \) वह क्षेत्र है जो \( C \) से घिरा हुआ है, तो किसी क्षेत्रीय द्विकरण \( P(x, y) \) और \( Q(x, y) \) के लिए प्रमेय इस प्रकार होता है: \[ \oint_C \left( P \, dx + Q \, dy \right) = ______ _____ ____ ___ ______ _________ __________ ________ ________ ___.
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ग्रीन प्रमेय (Green's Theorem) के अनुसार, यदि \( C \) एक बंद वक्र है और \( D \) वह क्षेत्र है जो \( C \) से घिरा हुआ है, तो किसी क्षेत्रीय द्विकरण \( P(x, y) \) और \( Q(x, y) \) के लिए प्रमेय इस प्रकार होता है: \[ \oint_C \left( P \, dx + Q \, dy \right) = ______ _____ ____ ___ ______ _________ __________ ________ ________ ___.
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