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 – 9x + 20 = 0II. y2 – 16 = 01. x > y2. x ≥ y3. x < y4. x ≤ y5. x = y or the relationship cannot be established

Answer» Correct Answer - Option 2 : x ≥ y

Given:

I. x2 – 9x + 20 = 0

II. y2 – 16 = 0

Calculation:

I. x2 – 9x + 20 = 0

⇒ x2 – 5x – 4x + 20 = 0

⇒ x(x – 5) – 4(x – 5) = 0

⇒ (x – 5)(x – 4) = 0

Then, x = 5 or x = 4

Now,

II. y2 – 16 = 0

⇒ y2 = 16

⇒ y = 4 or y = – 4

Now,

Comparison between x and y (via Tabulation):

Value of X

Relation

Value of Y

5

x > y

  4

5

x > y

  -4

4

x = y

 4

4

x > y

– 4

∴ We can clearly see that x ≥ y


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