Directions (1–5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and answer the following questions.
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
Q1. (I) x² – 2x – 143 = 0
(II) y² + 2y – 168 = 0
Q2. (I) 2x² – 15x + 28 = 0
(II) 2y² – 17y + 36 = 0
Q3. (I) 12x² + 5x – 2 = 0
(II) 8y² – 6y + 1 = 0
Q5. (I) 17x – 12y = 26
(II) 16y – 18x = 12
Directions (6-10): In each of these questions, two equations (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 relation can be established between x and y.
Q6. I. 5x² + 28x + 15 = 0
II. 3y² – 7y – 6 = 0
Q7. I. x² – 14x – 15 = 0
II. y² – 19y + 60 = 0
Q8. I. 3x + 4y = 25
II. 4x + 3y = 24
Q9. I. x² = 64
II. y² – 18y + 80 = 0
Q10. I. 7x² + 20x = –12
II. y² + 9y = –18
Direction (11–15): Solve the given two equations and mark the correct option based on your answer.
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
Q11. I. x²+ 18x+77=0
II. y² +13y+42=0
Q12. I. 3x²– x – 4 = 0
II. 3y² + 16y + 13 = 0
Q13.I. x²-x-6=0
II. y²=4
Q14. I. x³ + 2744 = 0
II. 2y²– 392 = 0
Q15. I. x² – 11x+30= 0
II. y² – 9y+20=0
Solutions