Advertisements
Advertisements
Question
For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.
Options
True
False
Advertisements
Solution
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
APPEARS IN
RELATED QUESTIONS
What will be the units digit of the square of the following number?
53924
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1112 − 1092
Find the squares of the following numbers using diagonal method:
171
Find the square of the following number:
451
Find a Pythagorean triplet in which one member is 12.
If one member of a pythagorean triplet is 2m, then the other two members are ______.
The sum of first n odd natural numbers is ______.
If m is the square of a natural number n, then n is ______.
Write two Pythagorean triplets each having one of the numbers as 5.
Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?
