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Previous Year Questions

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Question :

In the following equation, two equation I and II are given. Solve both the equations carefully and choose the correct option.

I. x2 - 5x - 66 = 0

II. y2 + 21y + 104 = 0

1. x > y

2. x < y

3. x ≥ y

4. x ≤ y

5. x = y or no relation can be established between x and y

Correct Answer : 1
Solution :

From I:

x2 - 5x - 66 = 0

x2 - 11x + 6x - 66 = 0

(x - 11)(x + 6) = 0

x = 11, -6

From II:

y2 + 21y + 104 = 0

y2 + 13y + 8y + 104 = 0

(y + 13)(y + 8) = 0

y = -13, -8

When x = 11, y = -13, then x > y

When x = 11, y = -8, then x > y

When x = -6, y = -13, then x > y

When x = -6, y = -8, then x > y

Hence, x > y

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