Question

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

I. x² + 22x + 120 = 0

II. 10y² + 23y + 12 = 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 2 : x < y

Calculation∶

I. x² + 22x + 120 = 0

⇒ x² + 12x + 10x + 120 = 0

⇒ x(x + 12) + 10(x + 12) = 0

⇒ (x + 12)(x + 10) = 0

⇒ x = -12, -10

II. 10y² + 23y + 12 = 0

⇒ 10y² + 15y + 8y + 12 = 0

⇒ 5y(2y + 3) + 4(2y + 3) = 0

⇒ (2y + 3)(5y + 4) = 0

⇒ y = -3/2, -4/5

Value of X	Value of Y	Relation
-12	-3/2	x < y
-12	-4/5	x < y
-10	-3/2	x < y
-10	-4/5	x < y

 

∴ x < y