If \[\int_{{}}^{{}}{(\sin 2x+\cos 2x)\ dx=\frac{1}{\sqrt{2}}\sin (2x-c)+a}\], then the value of a and c is [Roorkee 1978]

\[c=\pi /4\] and \[a=k\] (an arbitrary constant)

\[c=\pi /2\] and a is an arbitrary constant

If \[\int_{{}}^{{}}{(\sin 2x+\cos 2x)\ dx=\frac{1}{\sqrt{2}}\sin (2x-c

1.	If \[\int_{{}}^{{}}{(\sin 2x+\cos 2x)\ dx=\frac{1}{\sqrt{2}}\sin (2x-c)+a}\], then the value of a and c is [Roorkee 1978]
A.	\[c=\pi /4\] and \[a=k\] (an arbitrary constant)
B.	\[c=-\pi /4\] and \[a=\pi /2\]
C.	\[c=\pi /2\] and a is an arbitrary constant
D.	None of these
Answer» B. \[c=-\pi /4\] and \[a=\pi /2\]