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Question

Which of the following is a Pythagorean triplet?



A

(2n + 1, 4n, 2n2 + 2n)

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B

(2n, 4n, n2 + 1)

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C

(2n2, 2n, 2n+1)  

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D

(2n, n2-1, n2+1)

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Solution

The correct option is B

(2n, n2-1, n2+1)


Pythagoras theorem: a2 + b2 = c2.

(2n)2 + (n2-1)2= 4n2 + n4 - 2n2 + 1 = (n2+1)2

Except option D, no other option satisfies the condition of Pythagoras theorem.


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