Correct Answer - Option 4 :
x ≥ y
Given:
I. x2 - 27x + 180 = 0
II. y2 – 13y + 12 = 0
Calculation:
I. x2 - 27x + 180 = 0
⇒ x2 – 15x – 12x + 180 = 0
⇒ x(x – 15) - 12(x – 15)= 0
⇒ (x – 15)(x – 12) = 0
⇒ x = 15, 12
II. y2 – 13y + 12 = 0
⇒ y2 – 12y – y + 12 = 0
⇒ y(y – 12) – (y – 12) =0
⇒ (y – 12)(y – 1) = 0
⇒ y = 12, 1
Value of ‘x’
|
Relation
|
Value of ‘y’
|
15
|
>
|
12
|
15
|
>
|
1
|
12
|
=
|
12
|
12
|
>
|
1
|
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.