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Q.

Which of these are Pythagorean triplet whose one of the members is 3.

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a

3, 4 and 5

b

3, 6 and 9

c

2, 3 and 5

d

1, 2 and 9

answer is B.

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Detailed Solution

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We can get Pythagorean triplets by using the general form 2m, m2– 1, m2+ 1.

Let us first take m2– 1 = 3

So, m2 = 3 + 1 = 4

which gives m = 2

Therefore, 2m = 4 and m2 + 1 = 5

The triplet is thus 3, 4, and 5.

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