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. x2 – 6x + 8 = 0II. 4y2 – 24y + 32 = 01. x > y2. x < y3. x = y or relation between x and y can't be established4. x ≥ y5. x ≤ y

Answer» Correct Answer - Option 3 : x = y or relation between x and y can't be established

From I,

x2 – 6x + 8 = 0 

⇒ x2 – 4x – 2x + 8 = 0 

⇒ (x – 4)(x – 2) = 0

⇒ x = 4, 2

From II,

4y2 – 24y + 32 = 0

⇒ 4y2 - 16y - 8y + 32 = 0

⇒ (y - 4)(4y – 8) = 0

⇒ y = 4, 2

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation

4

4

 x = y

4

2

 x > y

2

4

x < y

2

2

 x = y

 

∴ Relation between x and y can't be established.


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