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.I. x2 – 10x + 21 = 0II. y2 + 6y – 27 = 01. x > y2. x ≤ y3. No relation in x and y or x = y4. x ≥ y5. x < y

Answer» Correct Answer - Option 4 : x ≥ y

Calculations:

From I,

x2 – 10x + 21 = 0

⇒ x2 – 7x – 3x + 21 = 0

⇒ x(x – 7) – 3(x – 7) = 0

⇒ (x – 7)(x – 3) = 0

Taking,

⇒ x – 7 = 0 or x – 3 = 0

⇒ x = 7 or x = 3

 

From II,

y2 + 6y – 27 = 0

⇒ y2 + 9y – 3y  – 27 = 0

⇒ y(y + 9) – 3(y + 9) = 0

⇒ (y + 9)(y – 3) = 0

Taking,

⇒ y + 9 = 0 or y – 3 = 0

⇒ y = –9 or y = 3

Comparison between x and y (via Tabulation):

x

y

Relation

7

–9

x > y

7

3

x > y

3

–9

x > y

3

3

x = y

 

∴ x ≥ y


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