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प्रश्न
If x and y are integers such that x2 > y2, then x3 > y3.
विकल्प
True
False
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उत्तर
This statement is False.
Explanation:
Given: Integer x and y
For an integer x and y as (– 1) and (– 2) respectively.
x2 > y2 ⇒ (– 2)2 > (– 1)2 = 4 > 1 (true)
And x3 > y3 ⇒ (– 2)3 > (– 1)3 = – 8 > – 1 (not true)
As – 8 < – 1
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संबंधित प्रश्न
Write a Pythagorean triplet whose one member is 16.
Write a Pythagorean triplet whose one member is 18.
From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ... n = n2, where the left hand side consists of n terms.
Which of the following triplet pythagorean?
(10, 24, 26)
Which of the following triplet pythagorean?
(16, 63, 65)
Find the squares of the following numbers using diagonal method:
98
Find the square of the following number:
575
The sum of first n odd natural numbers is ______.
There are ______ natural numbers between n2 and (n + 1)2
The sides of a right triangle whose hypotenuse is 17 cm are ______ and ______.
