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    Question

    If x and y satisfy x² + y² = 25 and x + y = 7, find

    xy.
    A (4,3) Correct Answer Incorrect Answer
    B (2,5) Correct Answer Incorrect Answer
    C (7,4) Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ, (x + y)² = x² + y² + 2xy → 49 = 25 + 2xy → xy = 12. Roots possible: (3,4) or (4,3).

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