1.

If a + b = 11 and ab = 15, then a2 + b2 is equal to:1. 902. 913. 934. 92

Answer» Correct Answer - Option 2 : 91

Given:

a + b = 11 and ab = 15

Formula:

(a + b)2 = a2 + b2 + 2ab

Calculation:

(a + b)2 = a2 + b2 + 2ab

⇒ 112 = a2 + b2 + 2 × 15

⇒ a2 + b2 = 121 - 30

∴ a2 + b2 = 91



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