Directions (1-5): Solve the given quadratic equations and mark the correct option based on your answer—
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y or no relation can be established between x and y.
Q2. I. (2x – 5)² = 9
II. (3y + 4)² = 25
Q4. I. 3x² = 125 – 2x²
II. y² + 12y + 32 = 0
Q5. I. 3x + 7y = 30
II. 4x + 6y = 30
Directions (6-10): Solve the given quadratic equations and mark the correct option based on your answer—
Q6. I. (2x – 3)²= 49
II. (2y + 6)²= 9
(a) x < y
(b) No relation can be established between x and y.
(c) x > y
(d) x ≤ y
(e) x ≥ y
Q7. I. 4x² – 29x + 45=0
II.4y² – 32y + 63 = 0
(a) x > y
(b) x ≤ y
(c) x ≥ y
(d) x < y
(e) No relation can be established between x and y.
Q10. I. 2x² + 78 – 25x = 0
II. y²- 10y + 24 = 0
(a) x ≤ y
(b) x < y
(c) x > y
(d) No relation can be established between x and y.
(e) x ≥ y
Directions (11-15): In each of these questions, two equations 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.
Q11. (i) 4x² + 14x – 18 = 0
(ii) y² + 12y + 35 = 0
Q12. (i) 4x² + 17x – 42 = 0
(ii) y² + 21y + 90 = 0
Q13. (i) x² – 24x + 128 = 0
(ii) y² – 34y + 288 = 0
Q14. (i) 8x² – 30x + 28 = 0
(ii) 5y² – 8y + 3 = 0
Q15. (i) x² – 31x + 184 = 0
(ii) y² – 47y + 552 = 0
Solutions