If \[\left. \begin{align} & f(x)=sin\text{ }x,when\,\,x\,\,is\,\,rational \\ & \,\,\,\,\,\,\,\,\,\,=\,\cos x,when\,\,x\,\,is\,\,irrational \\ \end{align} \right\}\]

Discontinuous at \[x=n\pi +\pi /4\]

Continuous at \[x=n\pi +\pi /4\]

If \[\left. \begin{align} & f(x)=sin\text{ }x,when\,\,x\,\,is\,\,ra

1.	If \[\left. \begin{align} & f(x)=sin\text{ }x,when\,\,x\,\,is\,\,rational \\ & \,\,\,\,\,\,\,\,\,\,=\,\cos x,when\,\,x\,\,is\,\,irrational \\ \end{align} \right\}\]
A.	Discontinuous at \[x=n\pi +\pi /4\]
B.	Continuous at \[x=n\pi +\pi /4\]
C.	Discontinuous at all x
D.	None of these
Answer» C. Discontinuous at all x

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If \[\left. \begin{align} & f(x)=sin\text{ }x,when\,\,x\,\,is\,\,rational \\ & \,\,\,\,\,\,\,\,\,\,=\,\cos x,when\,\,x\,\,is\,\,irrational \\ \end{align} \right\}\]

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