1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.l. x2 + 3x – 28  = 0ll. y2 – 7y + 10 = 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 5 : x = y or relation between x and y can not be determine.

Given:

x2 + 3x – 28  = 0

⇒ x2 + 7x – 4x – 28 = 0

⇒ x(x + 7) – 4 (x + 7) = 0

⇒ (x – 4) (x + 7) = 0

⇒ x = 4, -7.

y2 – 7y + 10 = 0

⇒ y2 – 5y – 2y + 10 = 0

⇒ y(y – 5) – 2(y – 5) = 0

⇒ (y – 5) (y – 2) = 0

⇒ y = 5, 2.

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation

4

5

x < y

4

2

x > y

-7

5

x < y

-7

2

x < y


∴ The relation between x and y can not be determine.


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