Question 82

If a - b = 11 and ab = 24, then value of $$a^{2}+b^{2}$$ is

Solution

Given : $$(a - b) = 11$$ and $$ab = 24$$

Using $$(a - b)^2 = a^2 + b^2 - 2ab$$

=> $$(11)^2 = (a^2 + b^2) - (2 \times 24)$$

=> $$(a^2 + b^2) = 121 + 48 = 169$$

=> Ans - (A)

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