For a positively charged particle moving in a \( x-y \) plane initially along the \( x \)-axis, ...

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For a positively charged particle moving in a \( x-y \) plane initially along the \( x \)-axis, there is a sudden change in its path due to the presence of electric and/or magnetic fields beyond \( P \). The curved path is shown in the \( x-y \) plane and is found to be non-circular.
Which one of the following combinations is possible?
(a) \( \mathbf{E}=0 ; \mathbf{B}=b \hat{\mathbf{j}}+c \hat{\mathbf{k}} \)
(b) \( \mathbf{E}=a \hat{\mathbf{i}} ; \mathbf{B}=c \hat{\mathbf{k}}+a \hat{\mathbf{i}} \)
(c) \( \mathbf{E}=0 ; \mathbf{B}=c \hat{\mathbf{j}}+b \hat{\mathbf{k}} \)
(d) \( \mathbf{E}=a \hat{\mathbf{i}} ; \mathbf{B}=c \hat{\mathbf{k}}+b \hat{\mathbf{j}} \)
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