A) \[\pm \hat{j}\]
B) \[\pm (\hat{i}+\hat{j})\]
C) \[\pm \,\hat{i}\]
D) None of these
Correct Answer: A
Solution :
[a] Point P lies on \[{{x}^{2}}+3{{y}^{2}}=3...(i)\] Now from the diagram, according to the given conditions, \[AP=AB\] or \[{{(x+\sqrt{3})}^{2}}+{{(y-0)}^{2}}=4\] or \[{{(x+\sqrt{3})}^{2}}+{{y}^{2}}=4...(ii)\] Solving (i) and (ii), we get \[x=0\] and \[y=\pm 1\] Hence, point P has position vector \[\pm \hat{j}\].You need to login to perform this action.
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