1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. x2 + 9x + 18 = 0II. y2 + 8y + 12 = 01. x > y2. x ≥ y3. x < y4. x ≤ y5. x = y or the relation cannot be determined

Answer» Correct Answer - Option 5 : x = y or the relation cannot be determined

We will solve both the equations separately.

Equation I:

x2 + 9x + 18 = 0

⇒ x2 + 6x + 3x + 18 = 0

⇒ x(x + 6) + 3(x + 6) = 0

⇒ x = -6 or x = -3

Equation II:

y2 + 8y + 12 = 0

⇒ y2 + 6y + 2y + 12 = 0

⇒ y(y + 6) + 2(y + 6) = 0

⇒ y = -6 or y = -2

Value of x

Value of y

Relation

-6

-6

 x = y

-6

-2

 x < y

-3

-6

 x > y

-3

-2

 x < y


Comparing the values of x and y we get,

∴ x = y or the relationship cannot be determined


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