Multiple choice

Find the correct relationship between given quantities. Quantity I: 2x2 + 29x+ 50 = 0 Quantity II: 3y2 + 18y+ 27 = 0 दी गई राशियों के बीच सही संबंध ज्ञात कीजिये। मात्रा I: 2x2 + 29x+ 50 = 0 मात्रा II: 3y2 + 18y+ 27 = 0

  1. Quantity I < Quantity II मात्रा I < मात्रा II

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity II > Quantity I मात्रा II > मात्रा I

  4. Quantity II < Quantity I मात्रा II < मात्रा I

  5. Quantity I = Quantity II or Relation cannot be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता है
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E Correct answer
Explanation

For Quantity I: 2x² + 29x + 50 = 0 gives x = -25 or x = -2. For Quantity II: 3y² + 18y + 27 = 0 simplifies to y² + 6y + 9 = 0, which is (y+3)² = 0, giving y = -3. When x = -25, x < y. When x = -2, x > y. Since x can be less than or greater than y depending on which root we take, no definite relationship can be established.

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