x + y + z = 7 এবং xy + yz + zx = 10 হলে x2 + y2 + z2 এর মান-
Solution
Correct Answer: Option A
দেওয়া আছে,
x + y + z = 7
xy + yz + zx = 10
আমরা জানি,
(x + y + z)2 = x2 + y2 + z2 + 2(xy + yz + zx)
⇒ 72 = x2 + y2 + z2 + 2 × 10
⇒ 49 = x2 + y2 + z2 + 20
⇒ x2 + y2 + z2 = 49 - 20
∴ x2 + y2 + z2 = 29
x + y + z = 7
xy + yz + zx = 10
আমরা জানি,
(x + y + z)2 = x2 + y2 + z2 + 2(xy + yz + zx)
⇒ 72 = x2 + y2 + z2 + 2 × 10
⇒ 49 = x2 + y2 + z2 + 20
⇒ x2 + y2 + z2 = 49 - 20
∴ x2 + y2 + z2 = 29
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions