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The linear combination of gcd(10, 11) = 1 can be written as _________

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The linear combination of gcd(10, 11) = 1 can be written as _________

(a) (-1)*10 + 1*11

(b) (-2)*10 + 2*11

(c) 1*10 + (-1)*11

(d) (-1)*10 + 2*11

This question was addressed to me in an interview for internship.

Query is from Applications of Number Theory topic in portion Number Theory and Cryptography of Discrete Mathematics

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The correct answer is (a) (-1)*10 + 1*11

The explanation: By using the Euclidean theorem, it follows that 1 = (-1)*10 + 1*11.

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