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Can you find more triplets. For any natu...

Can you find more triplets. For any natural number `m gt 1`. We have `(2m)^(2) + (m^(2) -1)^(2) = (m^(2) + 1)^(2)`
So, `2m, (m^(2) -1), (m^(2) + 1)` form a pythagorean triplet
Try to find some more Pythagoren triplets using this form.

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The correct Answer is:
4, 15, 7
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NAND LAL PUBLICATION-SQUARES AND SQUARE ROOTS -Exercise - 6.1
  1. The squares of which of the following would be odd numbers : 431

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  2. The squares of which of the following would be odd numbers : 2826

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  3. The squares of which of the following would be odd numbers : 7779

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  4. The squares of which of the following would be odd numbers : 82004

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  5. Observe the following pattern and find the missing digit. 11^(2) = 1...

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  6. Observe the following pattern and supply the missing numbers. 11^(2)...

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  7. Using the given pattern, find the missing numbers. 1^(2) + 2^(2) + 2...

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  8. Without adding, find the sum: 1 + 3 + 5 + 7 + 9

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  9. Without adding ,find the sum : 1+3+5+7+9+11+13+15+17+19.

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  10. Without adding ,find the sum : 1+3+5+7+9+11+13+15+17+19+21+23.

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  11. Express 49 as the sum of 7 odd numbers.

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  12. Express 121 as the sum of 11 odd numbers.

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  13. How many numbers lie between squares of the following numbers: 12 and...

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  14. How many numbers lie between squares of the following numbers: 25 and...

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  15. How many numbers lie between squares of the following numbers: 99 and...

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  16. Find the squares of the following numbers containing 5 in unit's place...

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  17. Find the squares of the following numbers containing 5 in unit's place...

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  18. Find the squares of the following numbers containing 5 in unit's place...

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  19. Find the saquares of the following numbers containing 5 in unit's plac...

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  20. Can you find more triplets. For any natural number m gt 1. We have (2m...

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