दिखाइए कि समतल 2x +y 2z=0गोले का स्पर्श तल है।

Question

दिखाइए कि समतल 2x +y 2z=0गोले $x^2+y^2+z^2-2x+2y-2z+2=0$ का स्पर्श तल है।

17 Feb 2025

Answer :

Word Count : 305

हमें यह दिखाना है कि समतल $2x + y + 2z = 0$ गोले \[ x^2 + y^2 + z^2 - 2x + 2y - 2z + 2 = 0 \] का स्पर्श तल है। ### चरण 1: गोले का केंद्र और त्रिज्या ज्ञात करें गोले के सामान्य समीकरण को लिख सकते हैं: \[ (x - a)^2 + (y - b)^2 ______ _______ ________ __________ __________ ____ ______ _______ __________ ______ ________ __________.
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