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.
Q1. I.x² + x – 12 = 0
II. y² + 2y-15 = 0
Q2. I. 6x² – 5x + 1 = 0
II. 3y² + 8y = 3
Q3. I. 12x² – 7x + 1 = 0
II. 6y² – 5y + 1 = 0
Q4. I. x² + 7x + 10 = 0
II. 2y² + 5y + 2 = 0
Q5. I. x² – 2x = 15
II. y² + 5y + 4 = 0
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 or no relation can be established between x and y.
(d) if y>x
(e) if y≥x
Q6. (i) x² – 12x + 32 = 0
(ii) y² – 20y + 96 = 0
Q7. (i) 2x² – 3x – 20 = 0
(ii) 2y² + 11y + 15 = 0
Q8. (i) x² – x – 6 = 0
(ii) y² – 6y + 8 = 0
Q9. (i) x² + 14x – 32 = 0
(ii) y² – y – 12 = 0
Q10. (i) x² – 9x + 20 = 0
(ii) 2y² – 12y + 18 = 0
Directions (11-15): 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.
Q11. (I) 5x²-31x+30=0
(II) 8y²-12y+4=0
Q12. (I) 7x²-17x+6=0
(II) 5y²-24y+16=0
Q13. (I) 13x²+9x-4=0
(II) 2y²+y-3=0
Q14. (I) 3x²-60x+288=0
(II) 4y²-50y+156=0
Q15. (I) 15x²+10x-5=0
(II) 6y²+2y-4=0
Solutions