Correct Answer - Option 5 :
x = y or relationship between x and y cannot be established.
I. x2 - 29x + 100 = 0
⇒ x2 - 25x - 4x + 100 = 0
⇒ x (x - 25) - 4 (x - 25) = 0
⇒ (x - 25) (x - 4) = 0
⇒ x = 25, 4
II. y2 - 52y + 100 = 0
⇒ y2 - 50y - 2y + 100 = 0
⇒ y (y - 50) - 2(y - 50) = 0
⇒ (y - 50) (y - 2) = 0
⇒ y = 50, 2
Value of X
|
Value of Y
|
Relation
|
25
|
50
|
x < y
|
25
|
2
|
x > y
|
4
|
50
|
x < y
|
4
|
2
|
x > y
|
∴ x = y or relationship between x and y cannot be established.