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Direction: In each of these questions, two equations and 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.

  1. Ⅰ. 2x2 + 3x – 20 = 0
    Ⅱ. 2y2 + 19y + 44 = 0
    1. 1
    2. 2
    3. 3
    4. 4
    5. 5
Correct Option: D

According to question ,
From equation Ⅰ. 2x2 + 3x– 20 = 0
⇒ 2x2 + 8x − 5x − 20 = 0
⇒ 2x(x + 4) − 5(x + 4) = 0
⇒ (2x − 5)(x + 4) = 0

∴ x =
5
, - 4
2

From equation Ⅱ. 2y2 + 19y + 44 = 0
⇒ 2y2 + 11y + 8y + 44 = 0
⇒ 2y(2y + 11) + 4(2y + 11) = 0
⇒ (y + 4)(2y + 11) = 0
∴ y = - 4, -
5
2
Hence, x ≥ y is correct answer .



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