Doubt from electrodynamics


a point charge is located at a distance l from the infinite conducting plane. What amount of work has to be performed in order to slowly remove this charge very far from the plane?
I used the work= qV to solve it. By using the image method, I replaced the conducting infinite sheet by an equivalent charge. I used V= kq/2r ---> W= kq^2/2l. but the answer is just half of it. Can someone tell me where exactly am I going wrong?

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If you have any doubt in solution then ask me .