Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and choose the correct option. a) (x^2 – 1089 = 0) b) (3y^2 – 363 = 0)

  1. x > y

  2. x ≤ y

  3. x ≥ y

  4. x < y

  5. x = y or relationship between x and y can't be established

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

x² - 1089 = 0 gives x = ±33. 3y² - 363 = 0 gives y² = 121, so y = ±11. Since x can be +33 or -33 and y can be +11 or -11, we cannot establish a definite relationship. When x = 33 and y = 11, x > y; when x = -33 and y = 11, x < y.