Multiple choice

Two equations (I) and (II) are given in each question. On the basis of these equations you have to decide the relation between ‘x’ and ‘y’ and give answer. $I: (x^2 + 6\sqrt{3}x - 48 = 0) II: (y^2 - 8\sqrt{2}y + 30 = 0)$

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

  5. x = y or the relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Equation I: x² + 6√3x - 48 = 0 gives x = 4√3 or -2√3. Equation II: y² - 8√2y + 30 = 0 has discriminant = 128 - 120 = 8, giving two real roots. Solving gives x > y as the relationship.

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