Multiple choice

In each of the following questions, two equations are given, you have to solve them and ( (I) x^2 + 4 = 0 ) ( (II) y^2 + 9 = 0 )

  1. if x > y

  2. if x ≥ y

  3. if x < y

  4. if x ≤ y

  5. if x = y or relationship can not be established.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Equation (I) x² + 4 = 0 gives x = ±2i (imaginary roots). Equation (II) y² + 9 = 0 gives y = ±3i (imaginary roots). Since both are imaginary numbers with different magnitudes (2i vs 3i), no meaningful relationship like >, <, or = can be established between x and y in the real number system.

Keep practicing — related questions