A) \[0\]
B) \[1\]
C) \[2\]
D) \[\infty \]
Correct Answer: A
Solution :
Given, \[\sin \,2x+cos\,4x=2\] \[\Rightarrow \] \[\sin \,2x+1-2si{{n}^{2}}2x=2\] \[\Rightarrow \] \[2{{\sin }^{2}}2x-sin\,\,2x+1=0\] Now, Discriminant, \[D={{(-1)}^{2}}-4.2.1=-7<0\] Hence, it is an imaginary equation, so the real roots does not exist.
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