Directions (1 – 5): Each of the following question is followed by two equations (I) & (II). You have to solve each equation and mark answer as per instructions.
Q1. I. 17x²-80x+87=0
II. 19y²-327y+68=0
(a) x > y
(b) x = y or no relation can be established
(c) x ≤ y
(d) x < y
(e) x ≥ y
Q2. I. 5x²-9x-704=0
II. 18y²-181y+438=0
(a) x ≤ y
(b) x > y
(c) x ≥ y
(d) x < y
(e) x = y or no relation can be established
Q3.
(a) x = y or no relation can be established
(b) x ≤ y
(c) x < y
(d) x > y
(e) x ≥ y
Q4. I. 13x²-74x+45=0
II. 23y²-253y+690=0
(a) x ≤ y
(b) x > y
(c) x ≥ y
(d) x < y
(e) x = y or no relation can be established
Q5.
(a) x ≥ y
(b) x > y
(c) x ≤ y
(d) x = y or no relation can be established
(e) x < y
Direction (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) 6x² – 17x + 10 = 0
(ii) 5y² – 28y + 15 = 0
Q7. (i) 12x² = 11x – 2
(ii) (3y + 7)² = 1
Q8. (i) 3x² – 5x-2 =0
(ii) 10y² + 7y = –1
Q9. (i) x²-16x+48=0
(ii) 2y²-13y+18=0
Q10.
Directions (11-15): In the following questions, two equations (I) and (II) are given. You have to solve both the equations and mark the appropriate answer.
Q11. I. (x-4)²=4x-19
II. (y-5)²=2(y-1)
(a) x≤y
(b) x≥y
(c) x=y or no relation.
(d) x>y
(e) x<y
Q12. I. 15x²-52x+45=0
II. 3y²-13y+14=0
(a) x≤y
(b) x≥y
(c) x=y or no relation.
(d) x>y
(e) x<y
Q13. I. 12x²+41x+22=0
II. 2y²+15y+28=0
(a) x≤y
(b) x≥y
(c) x=y or no relation.
(d) x>y
(e) x<y
Q14. I. 3x²-23x+40=0
II. 12y²-53y+56=0
(a) x≤y
(b) x≥y
(c) x=y or no relation.
(d) x>y
(e) x<y
Q15. I. 8x²-61x+35=0
II. 5y²-31y+44=0
(a) x≤y
(b) x≥y
(c) x=y or no relation.
(d) x>y
(e) x<y
Solutions