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Which of the following is true about point of extremum `x=a` of function `y=f(x)?`
(a) At `x=a ,` function `y=f(x)` may be discontinuous.
(b) At `x=a ,` function `y=f(x)` may be continuous but non-differentiable.
(c) At `x=a` ,function `y=f(x)` may have point of inflection.
(d) none of these

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