যদি a+b+c=5এবং a²+b²+c²=9 হয়, তবে ab+bc+ca= কত?
Solution
Correct Answer: Option B
আমরা জানি,
(a+b+c)² = a²+b²+c²+2(ab+bc+ca)
⟹ (5)²= 9+2(ab+bc+ca)
⟹ 2(ab+bc+ca) = 25-9
⟹ ab+bc+ca = 16/2
∴ ab+bc+ca= 8
(a+b+c)² = a²+b²+c²+2(ab+bc+ca)
⟹ (5)²= 9+2(ab+bc+ca)
⟹ 2(ab+bc+ca) = 25-9
⟹ ab+bc+ca = 16/2
∴ ab+bc+ca= 8
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