Geo5.1.17

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Find the condition if px+qy+r=0\, is a tangent to y^{2}=3ax\,

From the given line and tangent,

l=p,m=q,n=r\,

The condition is

ln=am^{2}\,

(p)(r)={\frac  {3a}{4}}(q^{2})\,

The condition is

4pr=3aq^{2}\,


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