Direction: Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,
Q.
I: x2 – x – 12 = 0 II: y2 – 2y -15 = 0
A. x < y
B. x > y
C. x ≤ y
D. x ≥ y
E. Relationship between x and y cannot be determined
Sol:
From I =>x2 – x – 12 = 0
=>x2 – 4x + 3x – 12 = 0
=>x(x – 4) +3(x – 4) = 0
=> (x – 4) (x + 3) = 0
=> x = 4, -3
From II =>y2 – 2y – 15 = 0
=>y2 – 5y + 3y – 15 = 0
=>y(y – 5) +3(y – 5) = 0
=> (y – 5) (y + 3) = 0
=> y = 5, -3
Hence, relationship between x and y cannot be determined
