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
Find the square of the given number.
86
What will be the units digit of the square of the following number?
55555
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
1002 − 992
Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\]
and find the values of following:
1 + 2 + 3 + 4 + 5 + ... + 50
Find the squares of the following numbers using diagonal method:
273
Find the squares of the following numbers using diagonal method:
295
Find the square of the following number:
575
Find the square of the following number:
205
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed? Give reason.
