1.

In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer.l. x2 + 10x – 75 = 0II. 2y2 – y – 136 = 0 1. x > y2. x ≤ y3. No relation in x and y or x = y4. x ≥ y5. x < y 

Answer» Correct Answer - Option 3 : No relation in x and y or x = y

Calculation:

l. x2 + 10x – 75 = 0

⇒ x2 + (15 – 5)x – 75 = 0

⇒ x2 + 15x – 5x – 75 = 0

⇒ x(x + 15) – 5(x + 15) = 0

⇒ (x + 15) (x – 5) = 0

⇒ x = -15, 5

 

II. 2y2 – y – 136 = 0

⇒ 2y2 – (17 – 16)y – 136 = 0

⇒ 2y2 – 17y + 16y – 136 = 0

⇒ y(2y – 17) + 8(2y – 17) = 0

⇒ (2y – 17) (y + 8) = 0

⇒ y = 17/2, -8

Value of x

Value of y

Relation between x and y

-15

17/2

x < y

-15

-8

x < y

5

17/2

x < y

5

-8

x > y

 

∴ No relation in x and y or x = y


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