In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. x2 – 20x + 91 = 0 II. y

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In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 – 20x + 91 = 0

II. y2 + 6y – 91 = 0

1. x < y
2. x > y
3. x ≤ y
4. x ≥ y
5. x = y or the relation between x and y can't be established.

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Correct Answer - Option 4 : x ≥ y

Calculation:

I. x2 – 20x + 91 = 0

⇒ x– 13x – 7x + 91 = 0

⇒ x(x – 13) – 7(x – 13)= 0

⇒ (x – 13)(x – 7) = 0

⇒ x = 13, 7

II. y2 + 6y – 91 = 0

⇒ y+ 13y – 7y – 91 = 0

⇒ y(y + 13) – 7(y + 13) =0

⇒ (y + 13)(y – 7) = 0

⇒ y = 7, (-13)

 Value of ‘x’ Relation Value of ‘y’ 13 > 7 13 > -13 7 = 7 7 > -13

When we compared the values of ‘x’ and ‘y’ in the table above, we found that there is TWO relations between X and Y i.e. > and =. So, a relation between x and y is “x ≥ y”.

After comparison, all the values of x and y the relation is “x  y”.