Question

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

x² – 13x + 40 = 0

y² – 11y + 24 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. Relation can't be established or x = y

Answer 1

Correct Answer - Option 5 : Relation can't be established or x = y

I. x² – 13x + 40 = 0

⇒ x² – 8x – 5x + 40= 0

⇒ x(x – 8) – 5(x – 8) = 0

⇒ (x – 8)(x – 5) = 0

⇒ x = 5 or 8

II. y² – 11y + 24 = 0

⇒ y² – 3y – 8y + 24 = 0

⇒ y(y – 3) – 8 (y – 3) = 0

⇒ (y – 3)(y – 8) = 0

⇒ y = 3 or 8

x	sign	y
5	>	3
5	<	8
8	>	3
8	=	8

 

∴ Relation can't be established or x = y