Question

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

I. 3x² + 11x + 6 = 0

II. y² + 14y + 33 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or the relationship between x and y cannot be established.

Answer 1

Correct Answer - Option 3 : x ≥ y

I. 3x² + 11x + 6 = 0

⇒ 3x² + 9x + 2x + 6 = 0

⇒ 3x(x + 3) + 2(x + 3) = 0

⇒ (3x + 2)(x + 3)= 0

⇒ x = -2/3, -3

II. y² + 14y + 33 = 0

⇒ y² + 11y + 3y + 33 = 0

⇒ y(y + 11) + 3(y + 11) = 0

⇒ (y + 11)(y + 3) = 0

⇒ y = -11, -3

Value of x	Value of y	Relation
-2/3	-11	x > y
-2/3	-2	x > y
-3	-11	x > y
-3	-3	X = y

∴ x ≥ y