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If a - b = 5 and a2 + b2 = 31 then find the value of ab?A. 4B. 5C. 2D. 31. C2. A3. B4. D |
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Answer» Correct Answer - Option 4 : D Given: a - b = 5 a2 + b2 = 31 Formula used: (a - b)2 = a2 + b2 - 2ab Calculation: (a - b)2 = a2 + b2 - 2ab ⇒ 52 = 31 - 2ab ⇒ 25 = 31 - 2ab ⇒ 2ab = 31 - 25 ⇒ 2ab = 6 ⇒ ab = 3 ∴ The value of ab is 3. |
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