Multiple choice

In each question below two equations are given. On the basis of these you have to find out the relationship between x and y. $I. (x^2 + 23x + 132 = 0) II. (y^2 + 21y + 110 = 0)$

  1. If x = y or relation cannot be established

  2. If x > y

  3. If x < y

  4. If x ≤ y

  5. If x ≥ y

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

x² + 23x + 132 = 0 gives x = -11, -12. y² + 21y + 110 = 0 gives y = -10, -11. x values: -11, -12. y values: -10, -11. Maximum x = -11, maximum y = -10. Minimum x = -12, minimum y = -11. All x values ≤ corresponding y values, so x ≤ y is always true.