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 – 43x – 188 = 0II. y2 + 21y – 196 = 01. x > y2. x ≤ y3. x = y or relation between x and y can not be determined.4. x ≥ y5. x < y 

Answer» Correct Answer - Option 3 : x = y or relation between x and y can not be determined.

Calculation:

l. x2 – 43x – 188 = 0

⇒ x2 – (47 – 4)x – 188 = 0

⇒ x2 – 47x + 4x -188 = 0

⇒ x(x – 47) + 4(x – 47) = 0

⇒ (x – 47) (x + 4) = 0

⇒ x = 47, -4

 

II. y2 + 21y – 196 = 0

⇒ y2 + (28 – 7)y – 196 = 0

⇒ y2 + 28y – 7y – 196 = 0

⇒ y(y + 28) – 7(y + 28) = 0

⇒ (y + 28) (y – 7) = 0

⇒ y = -28, 7

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation 

47

-28

x > y

47

7

x > y

-4

-28

x > y

-4

7

x < y

 

∴ Relation between x and y can not be determined.


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