Question
Download Solution PDFযদি (x + y + z) = 23 এবং x2 + y2 + z2 = 179 হয়, তাহলে (xy + yz + zx) এর মান নির্ণয় করো।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
যদি (x + y + z) = 23 এবং x2 + y2 + z2 = 179 হয়, তাহলে (xy + yz + zx) এর মান নির্ণয় করো।
ব্যবহৃত সূত্র:
(x + y + z)2 = x2 + y2 + z2 + 2(xy + yz + zx)
গণনা:
(x + y + z)2 = 232 = 529
x2 + y2 + z2 = 179
অতএব, 529 = 179 + 2(xy + yz + zx)
⇒ 529 - 179 = 2(xy + yz + zx)
⇒ 350 = 2(xy + yz + zx)
⇒ 350/2 = xy + yz + zx
⇒ xy + yz + zx = 175
∴ সঠিক উত্তরটি হলো বিকল্প (3)
Last updated on Jul 15, 2025
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