1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I: x2 + 10x – 299 = 0II: y2 + 22y + 117 = 01.x &gt; y2.x ≤ y3.x = y or relation between x and y can not be determined.4.x ≥ y5. x < y

Answer» Correct Answer - Option 3 :

x = y or relation between x and y can not be determined.


 Calculation:

I: x2 + 10x – 299 = 0

⇒ x2 + 23x – 13x – 299 = 0

⇒ x (x + 23) – 13(x + 23) = 0

⇒ (x + 23) × (x – 13) = 0

⇒ x = 13, (-23)

II: y2 + 22y + 117 = 0

⇒ y2 + 9y + 13y + 117 = 0

⇒ y × (y + 9) + 13 × (y + 9) = 0

⇒ (y + 9) × (y + 13) = 0

⇒ y = (-13), (-9)

Comparison between x and y (via Tabulation):

Value of x

Relation

Value of y

13

> 

-13

13

> 

-9

-23

< 

-13

-23

< 

-9

 

∴ From the table, we can conclude that x = y or relation cannot be established.


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