Question

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 – 7x + 6 = 0

II. 4y² – 10y + 4 = 0

1. x > y
2. x ≤ y
3. No relation in x and y or x = y
4. x ≥ y
5. x < y

Answer 1

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

Calculations:

From I,

2x² – 7x + 6 = 0= 0

⇒ 2x² – 4x – 3x + 6 = 0

⇒ 2x(x – 2) – 3(x – 2) = 0

⇒ (x – 2)(2x – 3) = 0

Taking,

(x – 2) = 0 or (2x – 3) = 0

⇒ x = 2 or x = 3/2

From II,

4y² – 10y + 4 = 0

⇒ 4y² – 8y – 2y + 4 = 0

⇒ 4y(y – 2) – 2(y – 2) = 0

⇒ (y – 2)(4y – 2) = 0

Taking,

(y – 2) = 0 or (4y – 2) = 0

⇒ y = 2 or y = 1/2

Comparison between x and y (via Tabulation):

x	y	Relation
2	2	x = y
2	1/2	x > y
3/2	2	x < y
3/2	1/2	x > y

 

∴ No relation in x and y.