1.

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 = 0II. y2 – 11y + 30 = 01. x > y2. y > x3. x ≥ y4. y ≥ x5. x = y or relation between x and y can't be established

Answer» 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



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