Question

For every natural number m, (2m – 1, 2m² – 2m, 2m² – 2m + 1) is a pythagorean triplet.

पर्याय

• True

• False

Answer 1

This statement is False.

Explanation:

∵ (2m – 1)² ≠ (2m² – 2m)² + (2m² – 2m + 1)²

(2m² – 2m)² ≠ (2m – 1)² + (2m² – 2m + 1)² 

And (2m² – 2m + 1)² ≠ (2m – 1)² + (2m² – 2m)²