Correct Answer - Option 4 : x ≤ y
Calculation:
I. 3x2 –4x + 1 = 0
⇒ 3x2 –3x –x + 1 = 0
⇒ 3x × (x – 1) –1 × (x – 1) = 0
⇒ (3x – 1) × (x – 1) = 0
⇒ x = 1 and x = 1/3
II. 2y2 –5y + 3 = 0
⇒ 2y2 – 2y – 3y + 3 = 0
⇒ 2y × (y – 1) –3 × (y – 1) = 0
⇒ (2y – 3) × (y – 1) = 0
⇒ y = 1 and y = 3/2
Value of x
|
Value of y
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Relation
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1
|
1
|
x = y
|
1/3
|
3/2
|
x < y
|
1
|
3/2
|
x < y
|
1/3
|
1
|
x < y
|
∴ x ≤ y