Question

In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.

I. x² – 6x + 8 = 0

II. y² – 11y + 30 = 0

1. x > y
2. y > x
3. x ≥ y
4. y ≥ x
5. x = y or relation between x and y can't be established

Answer 1

Correct Answer - Option 2 : y > x

Calculations:

From I,

x² – 6x + 8 = 0 

⇒ x² – 4x – 2x + 8 = 0 

⇒ (x – 4)(x – 2) = 0

⇒ x = 4, 2

From II,

y² – 11y + 30= 0 

⇒ y² – 6y – 5y + 30 = 0 

⇒ (y – 6)(y – 5) = 0

⇒ y = 6, 5

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
4	6	y > x
4	5	y > x
2	6	y > x
2	5	y > x

 

∴ y > x