Question

दिखाइए कि शांकवज equationकेंद्रीय है। अतः इसका केंद्र निकालिए।

29 Apr 2025
Answer :
Word Count : 566
हमारे पास एक द्विघात रूप (quadratic form) दिया गया है: $$ 2x^2 + 2y^2 + xy - yz + 2x + 2x - y + 5z + 1 $$ ### चरण 1: पहले इसे सुव्यवस्थित करें सभी समान पदों को जोड़ें: $$ = 2x^2 + 2y^2 + xy - yz + 4x - y + 5z + 1 $$ यह रूप इस प्रकार है: $$ Q(x, y, z) = ax^2 + by^2 + cz^2 + 2dxy + 2exz + 2fyz + 2gx + 2hy + 2iz + k $$ हम तुलना करें: | पद | गुणांक | | -------- | ----------------------------------------- | | $x^2$ | $2$ | | $y^2$ | $2$ | | __________ _____ ______ ______ ___ _____ ___ ____ ____ ____ _________.
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