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
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(a) \( \vec{E}=0 ; \vec{B}=b \hat{i}+c \hat{k} \)
(b) \( \vec{E}=a \hat{i} ; \vec{B}=c \hat{k}+a \hat{i} \)
(c) \( \vec{E}=0 ; \vec{B}=c \hat{j}+b \hat{k} \)
(d) \( \vec{E}=a \hat{i} ; \vec{B}=c \hat{k}+b \hat{j} \)
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