ab + bc + ca = 31 এবং a2 + b2 + c2 = 19 হলে, a + b + c = কত?

A 6

B 7

C 8

D 9

Solution

Correct Answer: Option D

দেওয়া আছে,
ab + bc + ca = 31
a2 + b2 + c2 = 19

এখন,
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
বা, (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)
বা, (a + b + c)2 = 19 + (2 × 31)
বা, (a + b + c)2 = 19 + 62
বা, (a + b + c)2 = 81
বা, a + b + c = √81
∴ a + b + c = 9

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