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let equation of parabola be y2=4ax , differentiate with respect to 'x' we get dy/dx=under root a/x . any asymptote touch the curve at infinity so put
limx->infinity dy/dx
we get dy/dx at infinite tends to zero
its means both ends of parabola behaves like a straight line separately
and asymptotes also a straight line.
hence two straight line never touches each other they cut or overlap with each other so parabola do not have asymptotes. submitted by:- mitesh kumar mishra
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∙ 11y ago
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