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    Question

    (x – 6) 2 + (y + 2) 2 + (z –

    4) 2 = 0, then find the value of 4x - 3y + z.
    A 34 Correct Answer Incorrect Answer
    B -34 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 14 Correct Answer Incorrect Answer

    Solution

    If (x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then (x = 6), (y = -2), and (z = 4).

    So,
    - x - 6 = 0 → x = 6
    - y + 2 = 0 → y = -2
    - z - 4 = 0 → z = 4

    Therefore, required value:
    4(6) - 3(-2) + 4 = 24 + 6 + 4 = 34

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