যদি a2 + b2 = 45 এবং ab = 18 হয়, তবে (1/a) + (1/b) = ?
Solution
Correct Answer: Option B
দেওয়া আছে, a2 + b2 = 45
ab = 18
আমরা জানি,
(a + b)2 = a2 + b2 + 2ab
বা, (a + b)2 = 45 + 2 × 18
বা, (a + b)2 = 45 + 36
বা, (a + b)2 = 81
বা, (a + b)2 = 92
a + b = 9
1/a + 1/b = (a + b)/ab
= 9/18
= 1/2
ab = 18
আমরা জানি,
(a + b)2 = a2 + b2 + 2ab
বা, (a + b)2 = 45 + 2 × 18
বা, (a + b)2 = 45 + 36
বা, (a + b)2 = 81
বা, (a + b)2 = 92
a + b = 9
1/a + 1/b = (a + b)/ab
= 9/18
= 1/2
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