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    Question

    The expression (x-тИЪ2)(x-тИЪ4) goes through its minima

    at the value of x = a. Find the value of 2a - тИЪ2
    B тИЪ2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    (x - тИЪ2)(x - тИЪ4) = x2 тАФ x(тИЪ2 + 2) + 2тИЪ2┬а For value to be minimum, => d(x2┬атАФ x(тИЪ2 + 2) + 2тИЪ2┬а)/dx = 0 at x = a тЗТ 2x┬атАФ┬атИЪ2┬атАФ 2 = 0 => x = a So, 2a┬атАФтИЪ2 = 2 тИ┤ 2a тАФтИЪ2 = 2

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