Correct Answer - Option 3 : 25
Given:
a + b = 7 and ab = 12
Formula Used:
(a + b)2 = a2 + b2 + 2ab
Calculation:
As, a + b = 7
Squaring both sides we get,
a2 + b2 + 2ab = 49
and ab = 12
a2 + b2 + 2 × 12 = 49
⇒ a2 + b2 = 49 - 24 = 25
∴ The value of a2 + b2 is 25.