Multiple choice

In each of the following questions, two equations are given. You have to solve them and state the correct relationship- $I. (2x^2 - 9x + 9 = 0) II. (y^2 -11x + 24 = 0)$

  1. $\(x > y\)$
  2. $\(x \ge y\)$
  3. $\(x < y\)$
  4. $\(x \le y\)$

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

Equation I: 2x² - 9x + 9 = 0 factors to (2x-3)(x-3) = 0 → x = 1.5 or 3. Equation II has a typo (uses x instead of y). Corrected: y² - 11y + 24 = 0 → (y-3)(y-8) = 0 → y = 3 or 8. Comparing: x ∈ {1.5, 3}, y ∈ {3, 8}. In all cases x ≤ y. Option D is correct despite the typo.

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