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Parabola|Normal Chord Of Parabola...

Parabola|Normal Chord Of Parabola

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Tangents are drawn at the end points of a normal chord of the parabola y^(2)=4ax . The locus of their point of intersection is

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Prove that the chord y-x sqrt(2)+4a sqrt(2)=0 is a normal chord of the parabola y^(2)=4ax . Also find the point on the parabola when the given chord is normal to the parabola.

Prove that the chord y-xsqrt2+4asqrt2=0 is a normal chord of the parabola y^2=4ax . Also, find the point on the parabola when the given chord is normal to the parabola.