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 व्यास क्या है?
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Download Solution PDFव्याख्या:
दिया गया है:
गोला: 2x2 + 2y2 + 2z2 + 3x + 3y + 3z - 6 = 0
⇒ \(x^2 + y^2+z^2 + \frac{3}{2}x +\frac{3}{2}y + \frac{3}{2}z\) -3 = 0
अब त्रिज्या = \(\sqrt{(\frac{3}{4})^2+ (\frac{3}{4})^2+ (\frac{3}{4})^2 + 3}\)
= \(\sqrt{\frac{27}{16} +3} = \frac{5\sqrt3}{4}\)
व्यास = \(\frac{5\sqrt3}{2}\)
∴ विकल्प (b) सही है
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