1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. x2 + 29x + 208 = 0II. y2 + 19y + 78 = 0 1. x > y2. x < y3. x ≥ y4. x ≤ y5. x = y or the relationship between x and y cannot be established.

Answer» Correct Answer - Option 4 : x ≤ y

Calculation:

I. x2 + 29x + 208 = 0

⇒ x2 + 16x + 13x + 208 = 0

⇒ x(x + 16) + 13(x + 16) = 0

⇒ (x + 16)(x + 13) = 0

⇒ x = -16 or x = -13

II. y2 + 19y + 78 = 0 

⇒ y2 +13y + 6y + 78 = 0

⇒ y(y + 13) + 6(y + 13) = 0

⇒ (y + 6)(y + 13) = 0

⇒ y = -6 or y = -13

Comparison between x and y (via Tabulation)

Value of x

Value of y

Relation

-16

-6

x < y

-16

-13

x < y

-13

-6

x < y

-13

-13

x = y

∴ x ≤ y


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