1.

 In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answerI. 4x2 – 72x + 224 = 0II. y2 – 19y + 60 = 01. x > y2. x ≤ y3. x = y or the relationship cannot be established.4. x ≥ y5. x < y

Answer» Correct Answer - Option 3 : x = y or the relationship cannot be established.

I. 4x2 – 72x + 224 = 0

⇒ 4x2 – 56x – 16x + 224 = 0

⇒ 4x(x – 14) – 16(x – 14) = 0

⇒ (x – 14)(4x – 16) = 0

⇒ x = 14 or 4

II. y2 – 19y + 60 = 0

⇒ y2 – 15y – 4y + 60 = 0

⇒ y(y – 15) – 4(y – 15) = 0

⇒ (y – 15)(y – 4) = 0

⇒ y = 15 or 4

Comparison between x and y (via Tabulation):

Value of x

Relation

Value of y

14

< 

15

14

> 

4

4

< 

15

4

=

4

∴ x = y or the relationship cannot be established.


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