Correct Answer - Option 2 : x ≤ y
Calculation:
I: 3x2 – 15x + 12 = 0
⇒ 3x2 – 12x – 3x + 12 = 0
⇒ 3x(x – 4) – 3(x – 4) = 0
⇒ (x – 4) × (3x – 3) = 0
⇒ x = 4, 1
II: 4y2 – 80y + 256 = 0
⇒ 4y2 – 16y – 64y + 256 = 0
⇒ 4y × (y – 4) – 64 × (y – 4) = 0
⇒ (y – 4) × (4y – 64) = 0
⇒ y = 4, 16
Comparing values of x and y,
Value of x
|
relation
|
Value of y
|
4
|
=
|
4
|
4
|
<
|
16
|
1
|
<
|
4
|
1
|
<
|
16
|
∴ From the table, we can say, x ≤ y.