Question
दिखाइए कि समतल गोले
का स्पर्श तल है।
Answer :
Word Count : 333
हमें दिखाना है कि समतल $$ 2x + y + 2z = 0 $$ गोले $$ x^2 + y^2 + z^2 - 2x + 2y - 2z + 2 = 0 $$ का स्पर्शतल (tangent plane) है। --- ### चरण 1: गोले का केंद्र और त्रिज्या ज्ञात करें गोले का सामान्य समीकरण होता है: $$ x^2 + y^2 + z^2 + Dx + Ey + Fz _________ _______ __________ ___ _____ _______ ________ ________.
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हमें दिखाना है कि समतल $$ 2x + y + 2z = 0 $$ गोले $$ x^2 + y^2 + z^2 - 2x + 2y - 2z + 2 = 0 $$ का स्पर्शतल (tangent plane) है। --- ### चरण 1: गोले का केंद्र और त्रिज्या ज्ञात करें गोले का सामान्य समीकरण होता है: $$ x^2 + y^2 + z^2 + Dx + Ey + Fz _________ _______ __________ ___ _____ _______ ________ ________.
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