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. 2x2 – 9x + 9 = 0II. y2 – 3y - 10 = 01. x > y2. x ≤ y3. No relation in x and y or x = y4. x ≥ y5. x < y

Answer» Correct Answer - Option 3 : No relation in x and y or x = y

Calculations:

From I,

2x2 – 9x + 9 = 0

⇒ 2x2 – 6x – 3x + 9 = 0

⇒ 2x(x – 3) - 3(x – 3) = 0

⇒ (x – 3)(2x - 3) = 0

Taking,

⇒ x – 3 = 0 or 2x - 3 = 0

⇒ x = 3 or x = 3/2

From II,

y2 – 3y - 10 = 0

⇒ y2 – 5y  + 2y – 10 = 0

⇒ y(y – 5) + 2(y – 5) = 0

⇒ (y – 5)(y + 2) = 0

Taking,

⇒ y – 5 = 0 or y + 2 = 0

⇒ y = 5 or y = –2

Comparison between x and y (via Tabulation):

x

y

Relation

3

5

x < y

3

–2

x > y

3/2

5

x < y

3/2

–2

x > y

 

∴ No relation in x and y.


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