Direction: In the following questions, two equations numbered I and II are given. You have to solve both questions and give answer
( 1 ) if x > y
( 2 ) if x ≥ y
( 3 ) if x < y
( 4 ) if x ≤ y
( 5 ) if x = y or the relationship cannot be established.
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Ⅰ. 12 - 23 = 5√x √x √x Ⅱ. √y - 5 √y = 1 12 12 √y
-
- 1
- 2
- 3
- 4
- 5
Correct Option: A
From the given above equations , we have
Ⅰ. | - | = 5√x | ||
⇒ 12 - 23 = 5√x × √x
∴ x = | = - 2.2 | |
Ⅰ. | - | = | |||
⇒ √y | - | = | |||||
12 | 12 | √y |
⇒ y | = 1 | |||
12 |
⇒ y = | = - 3 | |
4 |
From above it is clear that required answer is x > y .