Question

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

I. x² + 11x − 80 = 0

II. y² − 27y + 110 = 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 4 : x ≤ y

I. x2 + 11x − 80 = 0

⇒ x2 + 16x − 5x − 80 = 0

⇒ (x + 16), (x − 5) = 0

x = − 16, 5

II. y2 − 27y + 110 = 0

⇒ (y − 22)(y − 5) = 0

 y = 22, 5

Value of x	Value of y	Relation
-16	5	x < y
-16	22	x < y
5	5	x = y
5	22	x < y

∴ x ≤ y