Let , ,f(x) = * 20 c sgn ( x^2 - 3x + 2) , , ,; ,x Q 0 , , , , , … - Vidyadip

MCQ

$Let\,\,f(x) = \left\{ {\begin{array}{*{20}{c}}
{\operatorname{sgn} ({x^2} - 3x + 2)\,\,\,;\,x \in Q} \\
{0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,;\,x \notin Q}
\end{array}} \right.$ then number of points where $f(x)$ is continuous is (where sgn $(x)$ denotes signum function of $x$)

A
$2$
B
$1$
✓
$0$
D
infinite points

✓

Answer

Correct option: C.

$0$

c

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