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A and B are two points on the parabola {y}^{{{2}}}={4}{a}{x} w

Question

A and B are two points on the parabola $y^{2} = 4 a x$ with vertex O. if OA is perpendicular to OB and they have lengths $r_{1}$ and $r_{2}$ respectively, then the valye of $\frac{r _{1}^{4 / 3} r _{2}^{4 / 3}}{r _{1}^{2 / 3} + r _{2}^{2 / 3}}$ is

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Eleanor Discussed

A and B are two points on the parabola

y^{2} = 4 a x

with vertex O. if OA is perpendicular to OB and they have lengths

r_{1}

and

r_{2}

respectively, then the valye of

\frac{r _{1}^{4 / 3} r _{2}^{4 / 3}}{r _{1}^{2 / 3} + r _{2}^{2 / 3}}

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Question Text

A and B are two points on the parabola

y^{2} = 4 a x

with vertex O. if OA is perpendicular to OB and they have lengths

r_{1}

and

r_{2}

respectively, then the valye of

\frac{r _{1}^{4 / 3} r _{2}^{4 / 3}}{r _{1}^{2 / 3} + r _{2}^{2 / 3}}

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