In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer
I . x2 – 5x + 6 = 0
II. Y2 + y – 6 = 0
Solution
Correct Answer: Option D
We will separately solve both equations.
Equation 1:
x2 - 5x + 6 = 0
⇒ x2 - 2x - 3x + 6 = 0
⇒ x (x - 2) -3 (x - 2) = 0
⇒ (x - 2) × (x - 3) = 0
⇒ x = 2 or, x = 3
Equation 2:
y2 + y - 6 = 0
⇒ y2 + 3y - 2y - 6 = 0
⇒ y (y + 3) - 2 (y + 3) = 0
⇒ (y + 3) × (y - 2) = 0
⇒ y = 2 or, y = -3
x & y both have one common value. That is 2.
So we can say x = y
Another value of y (y = -3) is less than another value of x (x = 3)
So we can say y < x
Combining both x ≥ y
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