Advertisements
Advertisements
प्रश्न
If x and y are integers such that x2 > y2, then x3 > y3.
विकल्प
True
False
Advertisements
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
APPEARS IN
संबंधित प्रश्न
What will be the units digit of the square of the following number?
977
What will be the units digit of the square of the following number?
53924
Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
52 + 62 + 72 + 82 + 92 + 102 + 112 + 122
Which of the following number square of even number?
373758
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
54
Find the squares of the following numbers using diagonal method:
348
Find the square of the following number:
127
Find the square of the following number:
503
Find the square of the following number:
405
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
