1.

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. If normal at (5, 3) of rectangular hyperbola xy-y-2x-2=0 intersect it again at a point:

Answer»

`(-1,0)`
`(-1,1)`
`(0,-2)`
`((3)/(4),-14)`

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