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. 10x2 − 7x + 1 = 0
Ⅱ. 35y2 -12y + 1 = 0
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- 1
- 2
- 3
- 4
- 5
Correct Option: D
From the above given equations , we have
Ⅰ. 10x2 − 7x + 1 = 0
⇒ 10x2 − 5x − 2x + 1 = 0
⇒ 5x(2x − 1) − 1(2x − 1) = 0
⇒ (5x − 1)(2x − 1) = 0
| ∴ x = | , | ||
Ⅱ. 35y2 - 12y + 1 = 0
⇒ 35y2 − 7y + 5y + 1 = 0
⇒ 7y(5y − 1) − 1(5y − 1) = 0
⇒ (7y − 1)(5y − 1) = 0
| ∴ y = | , | ||
