1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.l. 24x2 + 38x + 15 = 0ll. 54y2 + 123y + 65 = 01. x > y2. x < y3. x ≥ y 4. x ≤ y5. x = y or relation between x and y can not be determined.

Answer» Correct Answer - Option 3 : x ≥ y 

Calculation:

l. 24x2 + 38x + 15 = 0

⇒ 24x2 + 18x + 20x + 15 = 0

⇒ 6x(4x + 3) + 5(4x + 3) = 0

⇒ (6x + 5) (4x + 3) = 0

x = -5/6, -3/4

ll. 54y2 + 123y + 65 = 0

⇒ 54y2 + 78y + 45y + 65 = 0

⇒ 6y(9y + 13) + 5(9y + 13) = 0

⇒ (6y + 5) (9y + 13) = 0

y = -5/6, -13/9

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation

-5/6

-5/6

x = y

-5/6

-13/9

x > y

-3/4

-5/6

x > y

-3/4

-13/9

x > y

 

∴ The result will be x ≥ y.



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