Question

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

I. x2 - 20x + 91 = 0

II. y2 - 21y + 104 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or the relationship between x and y cannot be established.

Answer 1

Correct Answer - Option 5 : x = y or the relationship between x and y cannot be established.

Calculation:

I. x2 - 20x + 91 = 0

⇒ x2 - 13x - 7x+ 91 = 0

⇒ x(x - 13) - 7(x - 13) = 0

⇒ (x - 13) (x - 7) = 0

∴ x = 13, 7

II. y2 - 21y + 104 = 0

⇒ y2 - 13x - 8x + 104 = 0

⇒ y(y - 13) - 8(x - 13) = 0

⇒ (y - 13) (y - 8) = 0

∴ y = 13, 8

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
13	13	x= y
13	8	x > y
7	13	x < y
7	8	x < y

∴ x = y or the relationship between x and y cannot be established.