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. 6x2 + 77x + 121 = 0
Ⅱ. y2 + 9y − 22 = 0
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- 1
- 2
- 3
- 4
- 5
Correct Option: E
From the given above equations , we have
Ⅰ. 6x2 + 77x + 121 = 0
⇒ 6x2 + 66x + 11x + 121 = 0
⇒ 6x(x + 11) + 11(x + 11) = 0
⇒ (6x + 11)(x + 11) = 0
| ∴ x = - | , - 11 | |
Ⅱ. y2 + 9y − 22 = 0
⇒ y2 + 11y − 2y − 22 = 0
⇒ y(y + 11) - 2(y + 11)
⇒ (y − 2)(y + 11) = 0
⇒ y = 2, –11
Hence, no relationship can be established between x and y.
