1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. 2X2 – 18X + 40 = 0II. 2Y2 – 15Y + 28 = 01. X > Y 2. X < Y3. X ≥ Y4. X ≤ Y5. X = Y or the relationship between X and Y cannot be established.

Answer» Correct Answer - Option 3 : X ≥ Y

I. 2X2 – 18X + 40 = 0

⇒ X2 – 4X – 5X + 20 = 0 (∵ taking 2 as common)

⇒ (X – 4) (X – 5)

⇒ X = 4, 5

II. 2Y2 – 15Y + 28 = 0

⇒ 2Y2 – 7Y – 8Y + 28 = 0

⇒ Y(2Y – 7) – 4(2Y – 7) = 0

⇒ (Y – 4) (2Y – 7) = 0

⇒ Y = 4, 7/2

Value of X

Value of Y

Relation

4

4

X = Y

5

4

X > Y

4

7/2

X > Y

5

7/2

X > Y

 

∴ X ≥ Y


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