Mathematics · Probability
Given two quadratic equations: Equation 1: X2 - 18X + 56 = 0 Equation 2: Y2 - 44Y + 468 = 0 Let A = X + 2Y and B = 2Y - 3X, where X and Y are any pair of roots from Equation 1 and Equation 2 respectively such that A and B are positive integers. M = Probability that A × B ≥ 1560 N = Probability that (A + B) ≤ 74 Compare the following two quantities:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Quantity I > Quantity II✓
- 2Quantity I = Quantity II
- 3Quantity I ≤ Quantity II
- 4Quantity I < Quantity II
Correct answer
Quantity I > Quantity II
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