what if we extend a parabola infinitely ?will it become eclipse at infinity??
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When the plane cuts the cone at an angle closer to the axis than the side of the cone a hyperbola is formed. As in the case of a parabola the curve extends into infinity, as the plane can never reach the far side of the cone and in fact, gets further and further from it the further along the arms you go.......
hope it's helps...........
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