Direction: In each of these questions, two equations Ⅰ and Ⅱ are given. You have to solve both the equations and give answer
( 1 ) if x < y
( 2 ) if x > y
( 3 ) if x = y
( 4 ) if x ≥ y
( 5 ) if x ≤ y or no relationship can be established between x and y.
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Ⅰ. x2 -24x + 144 = 0
Ⅱ. y2 − 26y + 169 = 0
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- 1
- 2
- 3
- 4
- 5
Correct Option: A
As per the given above question , we have
From equation Ⅰ. x2 - 24x + 144 = 0
⇒ x2 − 12x - 12x + 144 = 0
⇒ x(x − 12) − 12(x − 12) = 0
⇒ (x − 12)2 = 0
∴ x = 12
From equation Ⅱ. y2 − 26y + 169 = 0
⇒ y2 − 13y − 13y + 169 = 0
⇒ y(y − 13) − 13(y − 13) = 0
⇒ (y − 13)2 = 0
∴ y = 13
Hence, required answer will be x < y .
