1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.l. x2 – 50x + 225 = 0ll. y2 + 32y – 105 = 01. x > y2. x < y3.x ≥ y4. x ≤  y5. x = y or relation between x and y can not be determine.

Answer» Correct Answer - Option 1 : x > y

Calculation:

l. x2 – 50x + 225 = 0

⇒ x2 – 45x – 5x + 225 = 0                                                       

⇒ x(x - 45) – 5(x - 45) = 0

⇒ (x - 5) (x - 45) = 0

⇒ x = 5, 45

ll. y2 + 32y – 105 = 0

⇒ y2 + 35y – 3y – 105 = 0

⇒ y(y + 35) – 3(y + 35) = 0

⇒ (y - 3) (y + 35)

⇒ y = 3, -35

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation

5

3

x > y

5

-35

x > y

45

3

x > y

45

-35

x > y

 

∴ The result is x > y


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