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[" 20.The tangent "PT" and the normal "P...

[" 20.The tangent "PT" and the normal "PN" to the parabolin "y^(2)-4ax" at a point "P" on it meet its axis at points "T" and "N" ."],[" respectively.The locus of the centroid of the triangle "PTN" is a pandolit where "]

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The tangent PT and the normal PN to the parabola y^2=4ax at a point P on it meet its axis at points T and N respectively. The locus of the centroid of the triangle PTN is a parabola whose :

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If S be the focus of the parabola and tangent and normal at any point P meet its axis in T and G respectively, then prove that ST=SG = SP .

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