Question

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

l. x² - 3x - 10 = 0

ll. y² - y - 6 = 0

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5. x = y or relation between them cannot be established

Answer 1

Correct Answer - Option 5 : x = y or relation between them cannot be established

Calculation:

⇒ x² - 3x - 10 = 0

⇒ x² - 5x + 2x - 10 = 0

⇒ x(x - 5) + 2(x - 5) = 0

⇒ x = 5, -2

⇒ y² - y - 6 = 0

⇒ y² - 3y + 2y - 6 = 0

⇒ y(y - 3) + 2(y - 3) = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3, -2

Value of x	Value of y	Relation
5	3	x > y
5	-2	x > y
-2	3	x < y
-2	-2	x = y

∴ x = y or relation between them cannot be established