1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.l. x2 – 2x – 15 = 0II. y2 + 15y + 54 = 01. x > y2. x ≤ y3.  No relation in x and y or x = y4. x ≥ y5. x < y 

Answer» Correct Answer - Option 1 : x > y

Calculation:

l. x2 – 2x – 15 = 0

⇒ x2 – (5 – 3)x – 15 = 0

⇒ x2 – 5x + 3x – 15 = 0

⇒ x(x – 5) + 3(x – 5) = 0

⇒ (x + 3) (x – 5) = 0

⇒ x = 5, -3

II. y2 + 15y + 54 = 0

⇒ y2 + (9 + 6)y + 54 = 0

⇒ y2 + 9y + 6y + 54 = 0

⇒ y(y + 9) + 6(y + 9) = 0

⇒ (y + 6) (y + 9) = 0

⇒ y = -6, -9

Value of x

Value of y

Relation between x and y

5

-6

x > y

5

-9

x > y

-3

-6

x > y

-3

-9

x > y

 

∴ x > y


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