1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. x2 - 13x + 40 = 0II. y2 - 15y + 54 = 01. x > y2. x < y3. x ≥ y4. x ≤ y5. x = y or relationship between x and y cannot be established.

Answer» Correct Answer - Option 5 : x = y or relationship between x and y cannot be established.

Given

I. x2 - 13x + 40 = 0

⇒ x2 - 8x - 5x + 40 = 0

⇒ x(x - 8) - 5 (x - 8) = 0

⇒ (x - 5) (x - 8) = 0

⇒ x = 5, 8

II. y2 - 15y + 54 = 0

⇒ y2 - 9y - 6y + 54 = 0

⇒ y(y - 9) - 6 (y - 9) = 0

⇒ (y - 6) (y - 9) = 0

⇒ y = 6, 9

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation

5

6

x < y

5

9

x < y

8

6

x > y

8

9

x < y

 

Hence, Relation between x and y is not established.


Discussion

No Comment Found

Related InterviewSolutions