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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.

  1. Ⅰ.
    12
    -
    23
    = 5√x
    x
    x

    Ⅱ.
    y
    -
    5 √y
    =
    1
    12
    12
    y
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
Correct Option: A

From the given above equations , we have

Ⅰ.
12
-
23
= 5√x
x
x

⇒ 12 - 23 = 5√x × √x
∴ x =
- 11
= - 2.2
5

Ⅰ.
y
-
5 √y
=
1
12
12
y

⇒ √y
1
-
5
=
1
1212y

⇒ y
- 4
= 1
12

⇒ y =
- 12
= - 3
4
∴ x > y
From above it is clear that required answer is x > y .



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