Question

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. 9x2 - √625 = 0

II. 12y2 - 40y - 23 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5.

x = y or relation between x and y can not be established.

Answer 1

Correct Answer - Option 5 :

x = y or relation between x and y can not be established.

Given:

I. 9x2 - √625 = 0

II. 12y2 - 40y - 23 = 0

Calculation:

From I,

9x2 - √625 = 0

⇒ 9x2 = 25

⇒ x2 = 25/9

⇒ x = ±√(25/9)

⇒ x = ±(5/3)

⇒ x = 5/3 or (-5/3)

From II,

12y2 - 40y - 23 = 0

⇒ 12y2 - 46y + 6y - 23 = 0

⇒ 2y(6y - 23) + 1(6y - 23) = 0

⇒ (6y - 23)(2y + 1) = 0

Taking,

⇒ (6y - 23) = 0 or (2y + 1) = 0

⇒ y = (23/6) or (-1/2)

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
5/3	23/6	x < y
5/3	-1/2	x > y
-5/3	23/6	x < y
-5/3	-1/2	x < y

 

∴ x = y or relation between x and y can not be established.