In the given question, two equations numbered l and II are given. You

In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer-I. x2 = 4II. y2 - 6y + 8 = 01. x > y2. x ≥ y3. x < y4. x ≤ y5. x = y or the relation cannot be determined

Answer» Correct Answer - Option 4 : x ≤ y

Given:

I. x² = 4

II. y² – 6y + 8 = 0

Concept used:

Using factorization method.

Calculation:

x² = 4

⇒ x² – 4 = 0

⇒ (x – 2)(x + 2) = 0

⇒ (x – 2) = 0 or (x + 2) = 0

⇒ x = 2 or x = -2

⇒ x = -2, 2

y² – 6y + 8 = 0

⇒ y² – 4y – 2y + 8 = 0

⇒ y(y – 4) – 2(y – 4) = 0

⇒ (y – 4)(y – 2) = 0

⇒ (y – 4) = 0 or (y – 2) = 0

⇒ y = 4 or y = 2

⇒ y = 2, 4

∴ x ≤ y.

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
2	2	x = y
2	4	x < y
-2	4	x < y
-2	2	x < y

∴ x ≤ y.

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In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer-I. x2 = 4II. y2 - 6y + 8 = 01. x > y2. x ≥ y3. x < y4. x ≤ y5. x = y or the relation cannot be determined

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