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Directions (1-30): In each of the these questions, two equation (I) and (II) are given. You have to
solve both the equations and give answer.
(a) if x < y (b) if x > y
(c) if x ≥ y (d) if x ≤ y
(e) if x = y or no relationship can be established between x and y
Q1. I. 6x2 + 77x + 121 = 0
II. y2 + 9y − 22 = 0
Q2. I. x = √625
II. y = √676
Q3. I. x2 + 4x + 4 = 0
II. y2 − 8y + 16 = 0
Q4. I. x2 − (16)2 = (23)2 − 56
II. y1/3 − 55 + 376 = (18)2
Q5. I. x2 − 19x + 84 = 0
II. y2 − 25y + 156 = 0
Q6. I. 12x² + 17x + 6= 0
II. 6y² + 5y + 1 = 0
Q7. I. x³ = (√2163
)³
II. 6y² = 150
Q8. I. x² – 6x = 7
II. 2y² + 13y + 15 = 0
Q9. I. x² – (1+√2)x + √2 = 0
II. y² – 3y + 2 = 0
Q10. I. x² – 463 = 321
II. y² – 421 = 308
Q11. I. 9x2 − 27x + 20 = 0
II. 6y2 − 5y + 1 = 0
Q12. I.3x2 − 22x + 40 = 0
II.2y2 − 19y + 44 = 0
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Q13. I.2x2 − 11x + 14 = 0
II.2y2 − 7y + 6 = 0
Q14. I.x2 = 49
II. y2 − 4y − 21 = 0
Q15. I.3x2 − 13x − 10 = 0
II. 3y2 + 10y − 8 = 0
Q16. I. y² + 2y – 3 = 0
II. 2x² - 7x + 6 = 0
Q17. I. (x)² = 961
II. y =√961
Q18. I. 15x² – 19x + 6 = 0
II. 45y² – 47y + 12 = 0
Q19. I. 2x² + 5x + 2 = 0
II. 12y² + 7y + 1 = 0
Q20. I. 2x² - 13x + 21 = 0
II. 5y² - 22y + 21 = 0
Q21. I. 8x2 + 26x + 15 = 0
II. 4y2 + 24y + 35 = 0
Q22. I. x2 − 5x − 24 = 0
II. y2 − 7y − 18 = 0
Q23. I. 6x2 + 19x + 15 = 0
II. 24y2 + 11y + 1 = 0
Q24. I. 9x2 − 27x + 20 = 0
II. 6y2 − 5y + 1 = 0
Q25. I. x2 − 6x + 9 = 0
II. y2 − 11y + 24 = 0
Q26. I. 8x² + 6x = 5
II. 12y² - 22y +8 = 0
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Q27. I. 18x² + 18x + 4 = 0
II. 12y² + 29y + 14 = 0
Q28. I. x² - 16 = 0
II. y² - 9y + 20 = 0
Q29. I. x² - 32 = 112
II. y – √169 = 0
Q30. I. 2x² + 11x +14 = 0
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