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The normal at any point P(x_1,y_1) of curve is a line perpendicular to tangent at the point P(x_1,y_1). In case of rectangular hyperbola xy=c^2, the equation of normal at (ct,(c )/(t)) is xt^3-yt-ct^4+c=0. The shortest distance between any two curves always along the common normal. The shortest distance between the parabola 2y^2=2x-1,2x^2=2y-1 is: |
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Answer» `2sqrt(2)` |
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