Arrange the parabolas

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Arrange the parabolas y2=2xy^{2}=2x, y2=6xy^{2}=6x and y2=8xy^{2}=8x in order of increasing width (narrowest to widest). (a) y2=8xy^{2}=8x, y2=6xy^{2}=6x, y2=2xy^{2}=2x (b) y2=2xy^{2}=2x, y2=6xy^{2}=6x, y2=8xy^{2}=8x (c) y2=6xy^{2}=6x, y2=2xy^{2}=2x, y2=8xy^{2}=8x (d) y2=2xy^{2}=2x, y2=8xy^{2}=8x, y2=6xy^{2}=6x

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