Question

In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer:

I. 11x2 + 18x + 7 = 0

II. 3y2 + 2y - 1 = 0
1. x > y
2. x ≥ y
3.  x < y
4.  x ≤ y
5. x = y or the relation cannot be determined

Answer 1

Correct Answer - Option 5 : x = y or the relation cannot be determined

i.  11x² + 18x + 7 = 0

⇒ 11x² + 11x + 7x + 7 = 0

⇒ 11x(x + 1) + 7(x + 1) = 0

⇒ (x + 1)(11x + 7) = 0

⇒ x = -1, -7/11

 

ii. 3y² + 2y - 1 = 0

⇒ 3y² + 3y - y - 1 = 0

⇒ 3y(y + 1) - 1(y + 1) = 0

⇒ (y + 1) (3y - 1) = 0

⇒ y = -1, 1/3

 

Value of X	Value of Y	Relation
-7/11	-1	x > y
-1	1/3	x < y
-7/11	1/3	x < y
-1	-1	x = y

 

Hence, the relation cannot be determined​.