Multiple choice

In the following questions two equations (I) and (II) are given. You have to solve both the equation and give answer- ( (I) ) ( y^2 - x^2 = 32 ) ( (II) ) ( y - x = 2 )

  1. If x > y

  2. If x < y

  3. If x ≥ y

  4. If x ≤ y

  5. If x = y or the relationship can not be established.

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

From (II): y = x + 2. Substitute into (I): (x+2)² - x² = 32 gives x² + 4x + 4 - x² = 32, so 4x = 28 and x = 7. Then y = 7 + 2 = 9. Since 7 < 9, x < y.