Question

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² - 35x + 306 = 0

II. y² - 25y + 144 = 0
1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or relationship between x and y cannot be established.

Answer 1

Correct Answer - Option 1 : x > y

Calculation∶

I. x² - 35x + 306 = 0

⇒ x² - 17x - 18x + 306 = 0

⇒ x (x - 17) - 18 (x - 17) = 0

⇒ (x - 17) (x - 18) = 0

⇒ x = 17, 18

II. y² - 25y + 144 = 0

⇒ y² - 9y - 16y + 144 = 0

⇒ y (y - 9) - 16(y - 9) = 0

⇒ (y - 9) (y - 16) = 0

⇒ y = 9, 16

Value of X	Value of Y	Relation
17	9	x > y
17	16	x > y
18	9	x > y
18	16	x > y

 

∴ x > y