Question
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निर्देश: निम्नलिखित प्रश्नों के लिए निम्नलिखित को ध्यान में रखें:
माना 2x2 + 2y2 + 2z2 + 3x + 3y + 3z - 6 = 0 एक गोला है।
गोले का केंद्र किस समतल पर स्थित है?
Answer (Detailed Solution Below)
Detailed Solution
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गोले का केंद्र C \((\frac{-3}{4}, \frac{-3}{4}, \frac{-3}{4})\) है
4x + 8y + 8z + 15 = 0,
समतल गोले के केंद्र को संतुष्ट करता है - 3 -6 - 6 + 15 = 0
⇒ 0 = 0
∴ विकल्प (d) सही है
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