Word Count : 305

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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: \[ (x - a)^2 + (y - b)^2 + (z - c)^2 = r^2 \] दिए गए समीकरण को पुनः व्यवस्थित करें: \[ ____ ________ __________ ___ ___ ____ _____ __________ ___ _________ ____ _______.
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