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STD 12 - 5. continuity and differentiation — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 5. continuity and differentiation1 Mark
MCQ
If function $f(x) = \left\{ {\begin{array}{*{20}{c}}{x\,\,\,\,\,,}&{{\rm{if}}\,x\,{\rm{\,\,is\,\, rational\,\,}}}\\{1 - x,}&{{\rm{if}}\,x\,{\rm{\,is\,\, irrational\,}}}\end{array},} \right.$ then $f(x)$ is continuous at ...... number of points
  • A
    $\infty $
  • B
    $1$
  • ✓
    $0$
  • D
    None of these
✓

Answer

Correct option: C.
$0$
c
(c) At no point, function is continuous.

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