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The locus of point of intersection of th...

The locus of point of intersection of the two tangents to the parabola `y^2=4ax` which intercept a given distance 4c on the tangent at the vertex is

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`(beta-y)/(alpha-x)=m`
`y=beta+(a+alpha)m`
`y=mx+beta-malpha`
`m(beta-malpha)=a`
`m^2 alpha-mbeta+a=0`
tangent at roots`(theta,o)`
x=0
`y=beta-malpha`
...
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