In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark correct answer.

I. x2 – 19x + 84 = 0

II. y2 – 25y + 126 = 0

A If x > y

B If x ≥ y

C If x < y

D If x ≤ y

E If x = y or the relation cannot be determined

Solution

Correct Answer: Option D

We will solve both the equations separately.

Equation I:

x2 – 19x + 84 = 0

⇒ x2 – 12x – 7x + 84 = 0

⇒ (x – 12) (x – 7) = 0

⇒ x = 12 or x = 7

Equation II:

y2 – 25y + 126 = 0

⇒ y2 – 18y – 7y + 126 = 0

⇒ (y – 18) (y – 7) = 0

⇒ y = 18 or y = 7

So, the relation cannot be determined

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