A Simple Proof Of The Non Existence Of The Centre Of A Parabola

Abstract

The study about the centre of a conic section is always a major part in basic coordinate geometry. This study consists of the existence and finding of the centre of a given conic. In many books of coordinate geometry we usually notice a statement that the centre of a parabola is at infinity. But this statement is actually wrong. The correct statement should be there exist no centre of a parabola. Because ‘at infinity’ means there exist but we can’t find it. Here we had proved this simple thing using very simple algebraic calculations. We had also enclosed the long calculative classical method of it as defined in some well known coordinate geometry books.