Question 17

$$𝑀𝑇 𝐴𝐼$$ is a parallelogram of area $$\frac{40}{41}$$ square units such that $$𝑀𝐼 = 1/𝑀𝑇$$. If $$𝑑$$ is the least possible length of the diagonal $$MA$$, and $$d^{2} = \frac{a}{b}$$, where $$π‘Ž, 𝑏$$ are positive integers with $$gcd(a,b) = 1$$, find $$|a - b|$$.


Correct Answer: 23

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