1.

In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.I. x2 + 7x + 12 = 0II. y2 + 8y + 16 = 01. x > y2. x ≤ y3. No relation in x and y or x = y4. x ≥ y5. x < y

Answer» Correct Answer - Option 4 : x ≥ y

Calculations:

From I,

x2 + 7x + 12 = 0

⇒ x2 + 4x + 3x + 12 = 0

⇒ x(x + 4) + 3(x + 4) = 0

⇒ (x + 4)(x + 3) = 0

Taking,

⇒ x + 4 = 0 or x + 3 = 0

⇒ x = –4 or x = –3

From II,

y2 + 8y + 16 = 0

⇒ y2 + 4y  + 4y + 16 = 0

⇒ y(y + 4) + 4(y + 4) = 0

⇒ (y + 4)(y + 4) = 0

Taking,

⇒ y + 4 = 0 or y + 4 = 0

⇒ y = –4 or y = –4

Comparison between x and y (via Tabulation):

x

y

Relation

–4

–4

x = y

–4

–4

x = y

–3

–4

x > y

–3

–4

x > y

 

∴ x ≥ y.


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