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In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer

I. x2 – 14x + 33 = 0

II. y2 – 20y + 99 = 0


1. x > y
2. x ≥ y
3. x < y
4. x ≤ y
5. x = y or the relationship cannot be established

1 Answer

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Best answer
Correct Answer - Option 5 : x = y or the relationship cannot be established

Given:

I. x2 – 14x + 33 = 0

II. y2 – 20y + 99 = 0

Calculation:

I. x2 – 14x + 33 = 0

⇒ x2 – 11x – 3x + 33 = 0

⇒ x(x – 11) – 3(x – 11) = 0

⇒ (x – 11)(x – 3) = 0

Then, x = 11 or x = 3

Now,

II. y2 – 20y + 99 = 0

⇒ y2 – 11y – 9y + 99 = 0

⇒ y(y – 11) – 9(y – 11) = 0

⇒ (y – 11)(y – 9) = 0

Then, y = 11 or y = 9

Now,

Comparison between x and y (via Tabulation):

Value of X

Relation

Value of Y

11

x = y

               11

11

x > y

9

3

x < y

11

3

x < y

9

We can clearly see that the relationship cannot be established

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