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Regarding concave mirrors if an object is kept at infinity the image is formed at the focus.
Consider a concave mirror with focal length 20cm.If the object is kept at 50m,100m or 200m from the mirror the image will be formed at the focus.
Conversely if an object is kept at focus image is formed at infinity that is at50m,100m or 200m.In short it is formed at any large distance

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Infinite Improbability Drive

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