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Consider the function f(x) = |{:(a^(2)+x,,ab,,ac),(ab,,b^(2)+x,,bc),(ac,,bc,,c^(2)+x):}| which of thefollowingis true ? |
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Answer» f(x) has one+vepoint of MAXIMA. Applying `C_(1) to C_(1)+bC_(2) +cC_(2)` and taking `a^(2) +b^(2)+c^(2)+x` COMMON we GET `Delta =(1)/(a)(a^(2)+b^(2)+c^(2)+x) |{:(a,,ab,,ac),(b,,b^(2)+x,,bc),(c,,bc,,c^(2)+x):}|` Applying `C_(2) to C_(2)-bC_(1) " and " C_(3) to C_(3)-cC_(1)` we get `Delta =(1)/(a)(a^(2)+b^(2)+c^(2)+x) |{:(a,,0,,0),(b,,x,,0),(c,,0,,x):}|` `=(1)/(a) (a^(2) +b^(2)+c^(2)+x) (ax^(2))` `=x^(2) (a^(2)+b^(2)+c^(2)+x)` Thus `Delta ` is divisib le by x and `x^(2)`. alsograph of f(x) is 
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