1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. 15x2 - 14x + 3 = 0II. y2 - 21y + 110 = 01. x > y2. x < y3. x ≥ y4. x ≤ y5. x = y or relationship between x and y cannot be established.

Answer» Correct Answer - Option 2 : x < y

Calculation

I. 15x2 - 14x + 3 = 0

⇒ 15x2 - 5x - 9x + 3 = 0

⇒ 5x (3x - 1) - 3 (3x - 1) = 0
⇒ (3x - 1) (5x - 3) = 0

⇒ x = 1 / 3, 3 / 5

II. y2 - 21y + 110 = 0

⇒ y2 - 10y - 11y + 110 = 0

⇒ y (y - 10) - 11 (y - 10) = 0

⇒ (y - 10) (y - 11) = 0

⇒ y = 10, 11

 Value of x 

 Value of y 

 Relation 

1 / 3

10

x < y

1 / 3

11

x < y

3 / 5

10

x < y

3 / 5

11

x < y

 

∴ x < y


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