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Three normals are from the point (c,0) t...

Three normals are from the point (c,0) to the curve `y^(2)=x`. Show that c must be greater than `(1)/(2)`.One normal is always the x-axis. Find c for which the other two normals are perpendicular to each other.

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The correct Answer is:
`c=(3)/(4)`
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